## Albeverio, Sergio A.

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 Author ID: albeverio.sergio-a Published as: Albeverio, Sergio; Albeverio, S.; Albeverio, Sergio A.; Albeverio, S. A.; Albeveiro, Sergio; Al’beverio, S.; Albeverio, S Homepage: http://wt.iam.uni-bonn.de/albeverio/home/ External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 743 Publications since 1967, including 13 Books 33 Contributions as Editor · 1 Further Contribution Biographic References: 5 Publications Co-Authors: 319 Co-Authors with 751 Joint Publications 6,362 Co-Co-Authors
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### Co-Authors

 19 single-authored 82 Høegh-Krohn, Raphael J. 74 Röckner, Michael 62 Kondrat’yev, Yuriĭ Grygorovych 30 Khrennikov, Andreĭ Yur’evich 28 Fei, Shaoming 25 Daletskii, Alexei 25 Mazzucchi, Sonia 24 Koshmanenko, Volodymyr Dmytrovych 24 Ma, Zhi-Ming 20 Blanchard, Philippe 19 Torbin, Grygoriy Myroslavovych 19 Wu, Jianglun 18 Ayupov, Shavkat Abdullaevich 18 Streit, Ludwig 17 Holden, Helge 14 Gesztesy, Fritz 14 Hryniv, Rostyslav O. 14 Kurasov, Pavel B. 14 Zhou, Xianyin 13 Belopol’skaya, Yana Isaevna 13 Brzeźniak, Zdzisław 13 Gottschalk, Hanno 13 Karwowski, Witold 13 Lakaev, Saidakhmat Norzhigitovich 13 Mykytyuk, Yaroslav V. 13 Nizhnik, Leonid Pavlovich 12 Kozitsky, Yuri Vasil’evich 12 Pasurek, Tatiana 12 Pratsiovytyi, Mykola 12 Smolyanov, Oleg Georgievich 12 Yoshida, Minoru W. 10 Shelkovich, Vladimir M. 9 Ferrario, Benedetta 9 Kuzhel, Sergei 9 Makarov, Konstantin A. 9 Motovilov, Aleksandr Konstantinovich 9 Steblovskaya, Victoria R. 9 Zhao, Xuelei 8 Cianci, Roberto 8 Hilbert, Astrid 8 Kolsrud, Torbjörn 8 Kudaĭbergenov, Karimbergen Kadirbergenovich 8 Omirov, Bakhrom A. 8 Rüdiger, Barbara 8 Russo, Francesco 8 Ugolini, Stefania 8 Zegarlinski, Boguslaw 7 De Vecchi, Francesco Carlo 7 Di Persio, Luca 7 Feller, Mikhail Naumovich 7 Fenstad, Jens Erik 7 Iwata, Koichiro 7 Kolokoltsov, Vassili N. 7 Kozyrev, Sergeĭ Vladimirovich 7 Scarlatti, Sergio 6 Bogachev, Leonid V. 6 Cattaneo, Laura 6 Fassari, Silvestro 6 Haba, Zbigniew 6 Konstantinov, Alexei 6 Liang, Song 6 Lindstrøm, Tom L. 6 Lytvynov, Eugene W. 6 Rinaldi, Fabio 6 Tirozzi, Brunello 5 Bernabei, Maria Simonetta 5 Dabrowski, Ludwik 5 Dobrokhotov, Sergei Yurievich 5 Herzberg, Frederik S. 5 Kirsch, Werner 5 Kusuoka, Shigeo 5 Mastrogiacomo, Elisa 5 Muminov, Zahriddin Ishkobilovich 5 Paycha, Sylvie 5 Sengupta, Ambar N. 5 Smii, Boubaker 5 Testard, Daniel H. 5 Wang, Xiaohong 5 Zhang, Tusheng S. 4 Brasche, Johannes Friedemann 4 Combe, Ph. 4 Fukushima, Masatoshi 4 Geyler, Vladimir A. 4 Gielerak, Roman 4 Goswami, Debashish 4 Karabash, Illya M. 4 Lao, Lanjun 4 Malamud, Mark M. 4 Merlini, Danilo 4 Minlos, Robert Adol’fovich 4 Rozanov, Yuriĭ Anatol’evich 4 Rozanova, Olga S. 3 Boutet de Monvel, Anne Marie 3 Cacciapuoti, Claudio 3 Dadakhodjaev, Rashidkhon A. 3 Dudkin, Mykola E. 3 Exner, Pavel 3 Fan, Ruzong 3 Figari, Rodolfo 3 Guatteri, Giuseppina ...and 245 more Co-Authors
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### Serials

 46 Journal of Functional Analysis 29 Communications in Mathematical Physics 26 Journal of Mathematical Physics 22 Acta Applicandae Mathematicae 22 Methods of Functional Analysis and Topology 21 Reports on Mathematical Physics 15 Letters in Mathematical Physics 15 Bulletin des Sciences Mathématiques 13 Mathematische Nachrichten 13 Potential Analysis 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Journal of Statistical Physics 12 Reviews in Mathematical Physics 12 Journal of Physics A: Mathematical and General 12 Stochastic Processes and their Applications 11 Journal of Mathematical Analysis and Applications 9 Integral Equations and Operator Theory 9 Comptes Rendus de l’Académie des Sciences. Série I 9 Random Operators and Stochastic Equations 9 Markov Processes and Related Fields 9 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 8 Doklady Mathematics 8 Journal of Physics A: Mathematical and Theoretical 7 The Annals of Probability 7 Russian Journal of Mathematical Physics 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Stochastic Analysis and Applications 6 Probability Theory and Related Fields 6 Stochastics and Stochastics Reports 5 Physics Letters. A 5 Theoretical and Mathematical Physics 5 Positivity 5 Lecture Notes in Mathematics 4 International Journal of Modern Physics B 4 Inverse Problems 4 Mathematical Notes 4 Journal of Geometry and Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Lecture Notes in Physics 4 Mathematics and its Applications (Dordrecht) 3 Communications in Algebra 3 Helvetica Physica Acta 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Journal of Operator Theory 3 Journal of Theoretical Probability 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Expositiones Mathematicae 3 Izvestiya: Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Stochastics 3 London Mathematical Society Lecture Note Series 3 Complex Analysis and Operator Theory 3 Operator Theory: Advances and Applications 2 Theory of Probability and its Applications 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Journal of Algebra 2 Osaka Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Extracta Mathematicae 2 Asymptotic Analysis 2 Forum Mathematicum 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Mathematical Sciences (New York) 2 Journal of Mathematical Sciences. University of Tokyo 2 The Journal of Fourier Analysis and Applications 2 Lobachevskii Journal of Mathematics 2 International Journal of Theoretical Physics, Group Theory and Nonlinear Optics 2 Oberwolfach Reports 2 Proceedings of the Steklov Institute of Mathematics 2 RIMS Kôkyûroku Bessatsu 2 Eurasian Mathematical Journal 2 Arabian Journal of Mathematics 2 Springer Proceedings in Mathematics & Statistics 2 Nanosystems. Physics, Chemistry, Mathematics 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Physica A 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Acta Arithmetica 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematische Zeitschrift ...and 58 more Serials
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### Fields

 370 Probability theory and stochastic processes (60-XX) 287 Quantum theory (81-XX) 175 Operator theory (47-XX) 150 Partial differential equations (35-XX) 116 Functional analysis (46-XX) 81 Statistical mechanics, structure of matter (82-XX) 72 Global analysis, analysis on manifolds (58-XX) 71 Measure and integration (28-XX) 50 Potential theory (31-XX) 40 Number theory (11-XX) 40 Dynamical systems and ergodic theory (37-XX) 35 Ordinary differential equations (34-XX) 34 General and overarching topics; collections (00-XX) 22 Topological groups, Lie groups (22-XX) 21 Mechanics of particles and systems (70-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Fluid mechanics (76-XX) 14 Mathematical logic and foundations (03-XX) 14 Nonassociative rings and algebras (17-XX) 14 Real functions (26-XX) 10 Differential geometry (53-XX) 10 Biology and other natural sciences (92-XX) 7 Abstract harmonic analysis (43-XX) 7 Integral equations (45-XX) 6 Associative rings and algebras (16-XX) 6 Numerical analysis (65-XX) 5 Special functions (33-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 Integral transforms, operational calculus (44-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Approximations and expansions (41-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

609 Publications have been cited 6,045 times in 3,466 Documents Cited by Year
Solvable models in quantum mechanics. Zbl 0679.46057
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
1988
Nonstandard methods in stochastic analysis and mathematical physics. Zbl 0605.60005
Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom
1986
Singular perturbations of differential operators. Solvable Schrödinger type operators. Zbl 0945.47015
Albeverio, S.; Kurasov, P.
1999
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
2005
Analysis and geometry on configuration spaces. Zbl 0914.58028
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1998
Theory of $$p$$-adic distributions. Linear and nonlinear models. Zbl 1198.46001
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2010
Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055
Albeverio, S.; Röckner, M.
1991
A random walk on $$p$$-adics – the generator and its spectrum. Zbl 0810.60065
Albeverio, Sergio; Karwowski, Witold
1994
Mathematical theory of Feynman path integrals. Zbl 0337.28009
Albeverio, Sergio A.; Høegh-Krohn, Raphael J.
1976
Energy forms, Hamiltonians, and distorted Brownian paths. Zbl 0368.60091
Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L.
1977
Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1998
Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050
Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun
2010
Dirichlet forms and diffusion processes on rigged Hilbert spaces. Zbl 0342.60057
Albeverio, Sergio; Høegh-Krohn, Raphael
1977
Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055
Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng
1998
Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids. Zbl 0702.76041
Albeverio, Sergio; Cruzeiro, Ana-Bela
1990
Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036
Albeverio, Sergio; Röckner, Michael
1990
$$p$$-adic multiresolution analysis and wavelet frames. Zbl 1202.42059
Albeverio, S.; Evdokimov, S.; Skopina, M.
2010
On nilpotent and simple Leibniz algebras. Zbl 1065.17001
Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.
2005
Harmonic analysis in the $$p$$-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, $$p$$-adic wavelets, Tauberian theorems. Zbl 1110.46049
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2006
Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094
Albeverio, Sergio; Röckner, Michael
1989
Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001
Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia
2008
Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise. Zbl 1168.60014
Albeverio, S.; Mandrekar, V.; Rüdiger, B.
2009
Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I. Zbl 0449.35092
Albeverio, Sergio; Høegh-Krohn, Raphael
1977
On the $$1/n$$ expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039
Albeverio, S.; Pastur, L.; Shcherbina, M.
2001
Frobenius theory for positive maps of von Neumann algebras. Zbl 0398.46054
Albeverio, Sergio; Høegh-Krohn, Raphael
1978
Varieties of nilpotent complex Leibniz algebras of dimension less than five. Zbl 1088.17003
Albeverio, S.; Omirov, B. A.; Rakhimov, I. S.
2005
The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time. Zbl 0279.60095
Albeverio, Sergio; Høegh-Krohn, Raphael
1974
Dirichlet forms and Markov semigroups on $$C^*$$-algebras. Zbl 0384.46043
Albeverio, Sergio; Høegh-Krohn, Raphael
1977
Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. Zbl 0443.60099
Albeverio, Sergio; Høegh-Krohn, Raphael
1979
Asymptotics of branching symmetric random walk on the lattice with a single source. Zbl 0917.60080
Albeverio, Sergio; Bogachev, Leonid V.; Yarovaya, Elena B.
1998
Perturbation of Dirichlet forms — lower semiboundedness, closability, and form cores. Zbl 0743.60071
Albeverio, Sergio; Ma, Zhiming
1991
Inverse spectral problems for Dirac operators with summable potentials. Zbl 1189.34025
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya.
2005
The threshold effects for the two-particle Hamiltonians on lattices. Zbl 1116.81020
Albeverio, S.; Lakaev, S. N.; Makarov, K. A.; Muminov, Z. I.
2006
Dirichlet operators via stochastic analysis. Zbl 0820.60042
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1995
Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. Zbl 0810.60058
Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas
1994
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun
2000
Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark
2010
Additive functionals, nowhere Radon and Kato class smooth measures associated with Dirichlet forms. Zbl 0786.60104
Albeverio, Sergio; Ma, Zhiming
1992
Fundamental solution of the heat and Schrödinger equations with point interaction. Zbl 0822.35002
Albeverio, S.; Brzeźniak, Z.; Dąbrowski, L.
1995
Homogeneous random fields and statistical mechanics. Zbl 0381.60049
Albeverio, Sergio; Høegh-Krohn, Raphael
1975
Feynman-Kac semigroups in terms of signed smooth measures. Zbl 0737.60065
Albeverio, Sergio; Blanchard, Philippe; Ma, Zhiming
1991
Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.
2009
Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions. Zbl 0779.46040
Albeverio, Sergio; Brzeźniak, Zdzisław
1993
Non-Gaussian infinite dimensional analysis. Zbl 0868.60041
Albeverio, S.; Daletsky, Yu. L.; Kondratiev, Yu. G.; Streit, L.
1996
Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics. Zbl 1056.81026
Albeverio, Sergio; Lakaev, Saidakhmat N.; Muminov, Zahriddin I.
2004
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064
Albeverio, S.; Bogachev, V.; Röckner, M.
1999
The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael
1982
Topological and fractal properties of real numbers which are not normal. Zbl 1088.28003
Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy
2005
A remark on the connection between stochastic mechanics and the heat equation. Zbl 0291.60028
Albeverio, Sergio; Høegh-Krohn, Raphael
1974
The energy representation of Sobolev-Lie groups. Zbl 0393.22013
Albeverio, Sergio; Høegh-Krohn, Raphael
1978
Classification of 4-dimensional nilpotent complex Leibniz algebras. Zbl 1137.17002
Albeverio, S.; Omirov, B. A.; Rakhimov, I. S.
2006
Inverse spectral problems for non-local Sturm-Liouville operators. Zbl 1121.34014
Albeverio, S.; Hryniv, R. O.; Nizhnik, L. P.
2007
Symmetries of Schrödinger operators with point interactions. Zbl 0909.34074
Albeverio, S.; Dabrowski, L.; Kurasov, P.
1998
$$p$$-adic dynamical systems. Zbl 0974.37018
Albeverio, S.; Khrennikov, A.; Tirozzi, B.; De Smedt, S.
1998
Point interactions: $$\mathcal{PT}$$-Hermiticity and reality of the spectrum. Zbl 1053.81026
Albeverio, Sergio; Fei, Shao-Ming; Kurasov, Pavel
2002
Graph subspaces and the spectral shift function. Zbl 1074.47007
Albeverio, Sergio; Makarov, Konstantin A.; Motovilov, Alexander K.
2003
Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group. Zbl 0488.22038
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel
1981
Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions. Zbl 0870.60038
Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun
1996
Representations of the Weyl group in spaces of square integrable functions with respect to $$p$$-adic valued Gaussian distributions. Zbl 0903.46073
Albeverio, Sergio; Khrennikov, Andrei
1996
Feynman path integrals for polynomially growing potentials. Zbl 1095.81041
Albeverio, S.; Mazzucchi, S.
2005
Factorial representations of path groups. Zbl 0522.22013
Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A.
1983
Differential geometry of Poisson spaces. Zbl 0866.58011
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael
1996
$$p$$-adic valued quantization. Zbl 1187.81137
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu.
2009
Singular perturbations and nonstandard analysis. Zbl 0424.35014
Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael
1979
Hunt processes and analytic potential theory on rigged Hilbert spaces. Zbl 0382.60082
Albeverio, Sergio; Høegh-Krohn, Raphael
1977
Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. Zbl 0959.58009
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.
1999
Branching random walk in a catalytic medium. I: Basic equations. Zbl 0953.60079
Albeverio, Sergio; Bogachev, Leonid V.
2000
Multidimensional basis of $$p$$-adic wavelets and representation theory. Zbl 1187.42030
Albeverio, Sergio; Kozyrev, Sergei V.
2009
Fractal properties of singular probability distributions with independent $$Q^{\ast}$$-digits. Zbl 1082.11049
Albeverio, Sergio; Torbin, Grygoriy
2005
Fractal probability distributions and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1115.37016
Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy
2004
$$p$$-adic nonorthogonal wavelet bases. Zbl 1178.42035
Albeverio, S.; Evdokimov, S.; Skopina, M.
2009
$$n$$-dimensional filiform Leibniz algebras of length $$(n-1)$$ and their derivations. Zbl 1208.17002
Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh.
2008
Phase space Feynman path integrals. Zbl 1059.81107
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
2002
Measure-valued branching processes associated with random walks on $$p$$-adics. Zbl 1044.60036
Albeverio, Sergio; Zhao, Xuelei
2000
A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise. Zbl 0993.60062
Albeverio, Sergio; Haba, Zbignew; Russo, Francesco
2001
The Cauchy problems for evolutionary pseudo-differential equations over $$p$$-adic field and the wavelet theory. Zbl 1218.47071
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2011
Stochastic integrals and the Lévy-Itô decomposition theorem on separable Banach spaces. Zbl 1071.60032
Albeverio, S.; Rüdiger, B.
2005
Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy. Zbl 1065.60073
Albeverio, S.; Ferrario, B.
2004
A mathematical construction of the non-Abelian Chern-Simons functional integral. Zbl 0889.58019
Albeverio, Sergio; Sengupta, Ambar
1997
Feynman path integrals and the trace formula for the Schrödinger operators. Zbl 0493.35039
Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael
1982
On partial integration in infinite-dimensional space and applications to Dirichlet forms. Zbl 0667.31010
Albeverio, Sergio; Kusuoka, Shigeo; Röckner, Michael
1990
Ergodicity of $$L^ 2$$-semigroups and extremality of Gibbs states. Zbl 0880.60098
Albeverio, Sergio; Kondratiev, Yuri G.; Röcker, Michael
1997
Maximality of infinite dimensional Dirichlet forms and Høegh-Krohn’s model of quantum fields. Zbl 0798.46055
Albeverio, Sergio; Kusuoka, Shigeo
1992
Coupling in the singular limit of thin quantum waveguides. Zbl 1137.81330
Albeverio, Sergio; Cacciapuoti, Claudio; Finco, Domenico
2007
Reconstruction of radial Dirac and Schrödinger operators from two spectra. Zbl 1132.47060
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya.
2008
Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020
Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H.
2005
Diffusion on $$p$$-adic numbers. Zbl 0826.46069
Albeverio, Sergio; Karwowski, Witold
1991
Uniqueness of Gibbs states for quantum lattice systems. Zbl 0883.60094
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.; Tsikalenko, T. V.
1997
A remark on symmetry of stochastic dynamical systems and their conserved quantities. Zbl 0877.60044
Albeverio, Sergio; Fei, Shao-Ming
1995
Girsanov transform for symmetric diffusions with infinite dimensional state space. Zbl 0776.60093
Albeverio, S.; Röckner, M.; Zhang, T. S.
1993
Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001
Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A.
2006
Non-commutative Arens algebras and their derivations. Zbl 1138.46040
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.
2007
Asymptotics and spectral results for random walks on $$p$$-adics. Zbl 0999.60072
Albeverio, Sergio; Karwowski, Witold; Zhao, Xuelei
1999
A remark on Krein’s resolvent formula and boundary conditions. Zbl 1071.47003
Albeverio, Sergio; Pankrashkin, Konstantin
2005
Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. Zbl 0892.60008
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael
1997
Models of local relativistic quantum fields with indefinite metric (in all dimensions). Zbl 0898.46068
Albeverio, S.; Gottschalk, H.; Wu, J.-L.
1997
Local derivations on algebras of measurable operators. Zbl 1230.46056
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O.
2011
Asymptotic expansions for Ornstein-Uhlenbeck semigroups perturbed by potentials over Banach spaces. Zbl 0973.60064
Albeverio, Sergio; Röckle, Haio; Steblovskaya, Victoria
2000
Rank one perturbations of not semibounded operators. Zbl 0901.47004
Albeverio, S.; Kurasov, P.
1997
$$p$$-adic $$(2,1)$$-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
2013
Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity. Zbl 1476.60136
Albeverio, Sergio; Kagawa, Toshinao; Yahagi, Yumi; Yoshida, Minoru W.
2021
Stochastic Camassa-Holm equation with convection type noise. Zbl 1469.60202
Albeverio, Sergio; Brzeźniak, Zdzisław; Daletskii, Alexei
2021
The invariant measure and the flow associated to the $$\Phi^4_3$$-quantum field model. Zbl 1480.81079
Albeverio, Sergio; Kusuoka, Seiichiro
2020
Elliptic stochastic quantization. Zbl 1446.60041
Albeverio, Sergio; De Vecchi, Francesco C.; Gubinelli, Massimiliano
2020
Strong Kac’s chaos in the mean-field Bose-Einstein condensation. Zbl 1456.60197
Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania
2020
Weak symmetries of stochastic differential equations driven by semimartingales with jumps. Zbl 1465.60046
Albeverio, Sergio; De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania
2020
Generic asymptotics of resonance counting function for Schrödinger point interactions. Zbl 1453.35057
Albeverio, Sergio; Karabash, Illya M.
2020
On the multilevel internal structure of the asymptotic distribution of resonances. Zbl 1423.35029
Albeverio, Sergio; Karabash, Illya M.
2019
Borel summation of the small time expansion of some SDE’s driven by Gaussian white noise. Zbl 1433.35405
Albeverio, Sergio; Smii, Boubaker
2019
Quantum fields and point interactions. Zbl 1414.81267
Albeverio, Sergio; Figari, Rodolfo
2018
Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003
Albeverio, S.; Cangiotti, N.; Mazzucchi, S.
2018
Inverse scattering for impedance Schrödinger operators. I: Step-like impedance lattice. Zbl 1382.34094
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya.
2018
The volatility target effect in structured investment products with capital protection. Zbl 1417.91546
Albeverio, Sergio; Steblovskaya, Victoria; Wallbaum, Kai
2018
A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals. Zbl 1400.28023
Albeverio, Sergio; Mazzucchi, Sonia
2018
On new fractal phenomena connected with infinite linear IFS. Zbl 1426.11077
Albeverio, Sergio; Kondratiev, Yuri; Nikiforov, Roman; Torbin, Grygoriy
2017
Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions. Zbl 1379.35059
Albeverio, Sergio; Karabash, Illya M.
2017
Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101
Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun
2017
Invariant measures for SDEs driven by Lévy noise: a case study for dissipative nonlinear drift in infinite dimension. Zbl 06751889
Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa; Smii, Boubaker
2017
The Enskog process. Zbl 1375.35296
Albeverio, S.; Rüdiger, B.; Sundar, P.
2017
Entropy chaos and Bose-Einstein condensation. Zbl 1376.82025
Albeverio, Sergio; De Vecchi, Francesco C.; Ugolini, Stefania
2017
Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality. Zbl 1422.11164
Albeverio, Sergio; Garko, Iryna; Ibragim, Muslem; Torbin, Grygoriy
2017
Relative partition function of Coulomb plus delta interaction. Zbl 1372.81129
Albeverio, Sergio; Cacciapuoti, Claudio; Spreafico, Mauro
2017
A class of Lévy driven SDEs and their explicit invariant measures. Zbl 1350.60049
Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa; Smii, Boubaker
2016
A unified approach to infinite-dimensional integration. Zbl 1339.28018
Albeverio, S.; Mazzucchi, S.
2016
The Hamiltonian of the harmonic oscillator with an attractive $$\delta^{\prime}$$-interaction centred at the origin as approximated by the one with a triple of attractive $$\delta$$-interactions. Zbl 1342.81100
Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio
2016
On invariant graph subspaces of a $$J$$-self-adjoint operator in the Feshbach case. Zbl 06701370
Albeverio, S.; Motovilov, A. K.
2016
Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive $$\delta$$-impurities symmetrically situated around the origin. II. Zbl 1366.81172
Albeverio, S.; Fassari, S.; Rinaldi, F.
2016
Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive $$\delta$$-impurities symmetrically situated around the origin. Zbl 1352.81032
Albeverio, S.; Fassari, S.; Rinaldi, F.
2016
Equivalence of the Brownian and energy representations. Zbl 1360.22026
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M.
2016
Complex phase space and Weyl’s commutation relations. Zbl 1343.22009
Albeverio, Sergio; Sengupta, Ambar N.
2016
Asymptotic expansions for SDE’s with small multiplicative noise. Zbl 1322.60082
Albeverio, Sergio; Smii, Boubaker
2015
Quasi regular Dirichlet forms and the stochastic quantization problem. Zbl 1336.31022
Albeverio, Sergio; Ma, Zhi-Ming; Röckner, Michael
2015
A Doob h-transform of the Gross-Pitaevskii Hamiltonian. Zbl 1327.82062
Albeverio, Sergio; Ugolini, Stefania
2015
The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed by $$\delta$$-interactions. Zbl 1314.81058
Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio
2015
An introduction to infinite-dimensional oscillatory and probabilistic integrals. Zbl 1331.28028
Albeverio, Sergio; Mazzucchi, Sonia
2015
Infinite dimensional oscillatory integrals as projective systems of functionals. Zbl 1334.28024
Albeverio, Sergio; Mazzucchi, Sonia
2015
$${\mathcal{PT}}$$-symmetric operators in quantum mechanics: Krein spaces methods. Zbl 1354.81017
Albeverio, Sergio; Kuzhel, Sergii
2015
On singularity and fine spectral structure of random continued fractions. Zbl 1377.11087
Albeverio, Sergio; Kulyba, Yuliya; Pratsiovytyi, Mykola; Torbin, Grygoriy
2015
On fractal properties of non-normal numbers with respect to Rényi $$f$$-expansions generated by piecewise linear functions. Zbl 1294.11133
Albeverio, Sergio; Kondratiev, Yuri; Nikiforov, Roman; Torbin, Grygoriy
2014
A homeomorphism relating path spaces of stochastic processes with values in $$\mathbb R^{\mathbb Z}$$ respectively $$(S^{1})^{\mathbb Z}$$. Zbl 1432.60042
Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W.
2014
$$p$$-adic $$(2,1)$$-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
2013
Sharpening the norm bound in the subspace perturbation theory. Zbl 1288.47006
Albeverio, Sergio; Motovilov, Alexander K.
2013
A probabilistic model associated with the pressureless gas dynamics. Zbl 1286.35154
Albeverio, Sergio; Korshunova, Anastasia; Rozanova, Olga
2013
Spherical Schrödinger operators with $${\delta}-$$type interactions. Zbl 1282.81067
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen
2013
A remarkable spectral feature of the Schrödinger Hamiltonian of the harmonic oscillator perturbed by an attractive $$\delta^\prime$$-interaction centred at the origin: double degeneracy and level crossing. Zbl 1280.81051
Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio
2013
Invariant measures for stochastic differential equations on networks. Zbl 1326.60082
Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa
2013
Schrödinger operators with nonlocal potentials. Zbl 1289.34237
Albeverio, Sergio; Nizhnik, Leonid
2013
On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016
Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim
2013
Small noise asymptotic expansions for stochastic PDE’s driven by dissipative nonlinearity and Lévy noise. Zbl 1291.35452
Albeverio, Sergio; Mastrogiacomo, Elisa; Smii, Boubaker
2013
A representation of solutions to a scalar conservation law in several dimensions. Zbl 1310.35162
Albeverio, Sergio; Rozanova, Olga
2013
Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions. Zbl 1256.47027
Albeverio, Sergio; Kawabi, Hiroshi; Röckner, Michael
2012
Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises. Zbl 1303.60051
Albeverio, Sergio; Debussche, Arnaud; Xu, Lihu
2012
On fractional Brownian motion and wavelets. Zbl 1279.42038
Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M.
2012
Scattering theory for Schrödinger operators with Bessel-type potentials. Zbl 1253.47007
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya.
2012
Diffusion processes in thin tubes and their limits on graphs. Zbl 1267.60090
Albeverio, Sergio; Kusuoka, Seiichiro
2012
Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics. Zbl 1238.35197
2012
Number of eigenvalues of the three-particle Schrödinger operators on lattices. Zbl 1271.81076
Albeverio, Sergio A.; Lakaev, S. N.; Khalkhujaev, A. M.
2012
The a priori $$\tan \Theta$$ theorem for spectral subspaces. Zbl 1276.47010
Albeverio, Sergio; Motovilov, Alexander K.
2012
On elements of the Lax-Phillips scattering scheme for $$\mathcal{PT}$$-symmetric operators. Zbl 1272.81049
Albeverio, S.; Kuzhel, S.
2012
Clustering by hypergraphs and dimensionality of cluster systems. Zbl 1269.05081
Albeverio, S.; Kozyrev, S. V.
2012
Uniform asymptotic bounds for the heat kernel and the trace of a stochastic geodesic flow. Zbl 1259.58012
Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily
2012
Haar bases for $$L^2(\mathbb Q^2_2)$$ generated by one wavelet function. Zbl 1263.42019
Albeverio, S.; Skopina, M.
2012
Phase transitions and quantum effects in anharmonic crystals. Zbl 1247.82024
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael
2012
The Cauchy problems for evolutionary pseudo-differential equations over $$p$$-adic field and the wavelet theory. Zbl 1218.47071
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2011
Local derivations on algebras of measurable operators. Zbl 1230.46056
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O.
2011
On fine structure of singularly continuous probability measures and random variables with independent $$\tilde{Q}$$-symbols. Zbl 1240.28019
Albeverio, S.; Koshmanenko, V.; Pratsiovytyi, M.; Torbin, G.
2011
Small noise asymptotic expansions for stochastic PDE’s. I: The case of a dissipative polynomially bounded non linearity. Zbl 1234.35328
Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa
2011
Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations. Zbl 1250.47021
Albeverio, S.; Motovilov, A. K.
2011
Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. Zbl 1251.35204
Albeverio, S.; Danilov, V. G.
2011
Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058
Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj
2011
Inverse scattering for discontinuous impedance Schrödinger operators: a model example. Zbl 1226.81285
Albeverio, S.; Hryniv, R.; Mykytyuk, Y.
2011
The probabilistic representation of the exponent of a class of pseudo-differential operators. Zbl 1296.28016
Albeverio, S.; Smorodina, N.; Faddeev, M.
2011
The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042
Albeverio, Sergio; Mazzucchi, Sonia
2011
Theory of $$p$$-adic distributions. Linear and nonlinear models. Zbl 1198.46001
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2010
Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050
Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun
2010
$$p$$-adic multiresolution analysis and wavelet frames. Zbl 1202.42059
Albeverio, S.; Evdokimov, S.; Skopina, M.
2010
Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark
2010
Suppression of unbounded gradients in an SDE associated with the Burgers equation. Zbl 1180.35589
Albeverio, Sergio; Rozanova, Olga
2010
Multidimensional $$p$$-adic wavelets for the deformed metric. Zbl 1257.42045
Albeverio, Sergio; Kozyrev, Sergei V.
2010
Bounds on the spectrum and reducing subspaces of a $$J$$-self-adjoint operator. Zbl 1236.47032
Albeverio, Sergio; Motovilov, Alexander K.; Tretter, Christiane
2010
Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417
Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N.
2010
Pseudodifferential $$p$$-adic vector fields and pseudodifferentiation of a composite $$p$$-adic function. Zbl 1288.47048
Albeverio, Sergio; Kozyrev, Sergei V.
2010
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Zbl 1221.60076
Albeverio, S.; Belopolskaya, Ya.
2010
Singular perturbations with boundary conditions and the Casimir effect in the half space. Zbl 1311.47030
Albeverio, S.; Cognola, G.; Spreafico, M.; Zerbini, S.
2010
Point perturbations in constant curvature spaces. Zbl 1190.83010
Albeverio, Sergio; Geyler, Vladimir A.; Grishanov, Evgeniy N.; Ivanov, Dmitriy A.
2010
Decomposition of a scalar operator into a product of unitary operators with two points in spectrum. Zbl 1198.15008
Albeverio, Sergio; Rabanovich, Slavik
2010
Some abstract considerations on the homogenization problem of infinite dimensional diffusions. Zbl 1242.60084
Albeverio, Sergio; Yoshida, Minoru W.
2010
Arens spaces associated with von Neumann algebras and normal states. Zbl 1200.46054
Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z.
2010
Erratum to “Uniqueness of the generators of 2D Euler and Navier-Stokes flows” [Stochastic Process. Appl. 118 (11) (2008) 2071-2084]. (Erratum to “Uniqueness of the generators of 2D Euler and Stokes flows” [Stochastic Process. Appl. 118 (11) (2008) 2071-2084].) Zbl 1202.35151
Albeverio, S.; Barbu, V.; Ferrario, B.
2010
Infinite dimensional integrals and their asymptotics: some recent developments and applications. Zbl 1282.81123
Albeverio, S.; Mazzucchi, S.
2010
The Cauchy problem for the wave equation with Lévy Laplacian. Zbl 1275.35134
Albeverio, S. A.; Belopol&rsquo;skaya, Ya. I.; Feller, M. N.
2010
Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise. Zbl 1168.60014
Albeverio, S.; Mandrekar, V.; Rüdiger, B.
2009
Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.
2009
$$p$$-adic valued quantization. Zbl 1187.81137
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu.
2009
Multidimensional basis of $$p$$-adic wavelets and representation theory. Zbl 1187.42030
Albeverio, Sergio; Kozyrev, Sergei V.
2009
$$p$$-adic nonorthogonal wavelet bases. Zbl 1178.42035
Albeverio, S.; Evdokimov, S.; Skopina, M.
2009
Bounds on variation of spectral subspaces under $$J$$-self-adjoint perturbations. Zbl 1197.47024
Albeverio, Sergio; Motovilov, Alexander K.; Shkalikov, Andrei A.
2009
Frames of $$p$$-adic wavelets and orbits of the affine group. Zbl 1187.42029
Albeverio, S.; Kozyrev, S. V.
2009
The statistical mechanics of quantum lattice systems. A path integral approach. Zbl 1178.82001
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael
2009
Cartan subalgebras of Leibniz $$n$$-algebras. Zbl 1236.17004
Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Turdibaev, R. M.
2009
...and 509 more Documents
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### Cited by 2,961 Authors

 281 Albeverio, Sergio A. 89 Röckner, Michael 72 Kondrat’yev, Yuriĭ Grygorovych 60 Khrennikov, Andreĭ Yur’evich 36 Exner, Pavel 35 Høegh-Krohn, Raphael J. 33 Omirov, Bakhrom A. 31 Malamud, Mark M. 29 Ayupov, Shavkat Abdullaevich 29 Koshmanenko, Volodymyr Dmytrovych 27 Jørgensen, Palle E. T. 26 Kozitsky, Yuri Vasil’evich 26 Kudaĭbergenov, Karimbergen Kadirbergenovich 26 Zúñiga-Galindo, Wilson A. 25 Mukhamedov, Farruh Maksutovich 24 Daletskii, Alexei 23 Gesztesy, Fritz 23 Grothaus, Martin 21 Khudoyberdiyev, Abror Kh. 21 Kozyrev, Sergeĭ Vladimirovich 21 Mazzucchi, Sonia 20 Brzeźniak, Zdzisław 20 Léandre, Rémi 20 Streit, Ludwig 20 Yarovaya, Elena B. 19 Bogachev, Vladimir Igorevich 19 Flandoli, Franco 19 Posilicano, Andrea 19 Shelkovich, Vladimir M. 18 Kostenko, Aleksey S. 18 Kurasov, Pavel B. 18 Takeda, Masayoshi 17 Camacho, Luisa Maria 17 Fei, Shaoming 17 Geyler, Vladimir A. 17 Lytvynov, Eugene W. 17 Neidhardt, Hagen 17 Wu, Jianglun 16 Behrndt, Jussi 16 Kutoviy, Oleksandr V. 16 Lakaev, Saidakhmat Norzhigitovich 16 Popov, Igor’ Yur’evich 16 Torbin, Grygoriy Myroslavovych 15 Cutland, Nigel J. 15 Da Prato, Giuseppe 15 Kaneko, Hiroshi 15 Pasurek, Tatiana 15 Rasulov, Tulkin Khusenovich 14 Hryniv, Rostyslav O. 14 Kochubeĭ, Anatoliĭ Naumovych 14 Michelangeli, Alessandro 13 Zegarlinski, Boguslaw 13 Zhu, RongChan 12 Ber, Aleksey Feliksovich 12 Calderón Martín, Antonio Jesús 12 Chen, Zhen-Qing 12 Finkelshteĭn, Dmitriĭ Leonidovich 12 Gielerak, Roman 12 Karwowski, Witold 12 Ma, Zhi-Ming 12 Manna, Utpal 12 Muminov, Mukhiddin Èshkobilovich 12 Pankrashkin, Konstantin 12 Smolyanov, Oleg Georgievich 12 Teschl, Gerald 12 Zhang, Tusheng S. 11 Leonenko, Nikolai N. 11 Lotoreichik, Vladimir 11 Muminov, Zahriddin Ishkobilovich 11 Pratsiovytyi, Mykola 11 Rebenko, Alexei L. 11 Šeba, Petr 11 Sukochev, Fedor Anatol’evich 11 Sun, Wei 11 Teta, Alessandro 10 Cacciapuoti, Claudio 10 Duan, Jinqiao 10 Gubinelli, Massimiliano 10 Hausenblas, Erika 10 Holden, Helge 10 Kuzhel, Sergei 10 Ladra González, Manuel 10 Lukomskiĭ, Sergeĭ Fedorovich 10 Motovilov, Aleksandr Konstantinovich 10 Mykytyuk, Yaroslav V. 10 Rakhimov, Isamiddin Sattarovich 10 Razafimandimby, Paul André 10 Rozikov, Utkir A. 10 Sánchez Delgado, José María 10 Truman, Aubrey 10 Yang, Chuanfu 10 Zambrini, Jean-Claude 10 Zhu, Xiang-Chan 9 Bulinskaya, Ekaterina Vladimirovna 9 Duong, Dao Van 9 Ferrario, Benedetta 9 Figari, Rodolfo 9 Gadella, Manuel 9 Herzberg, Frederik S. 9 Kosyak, Alexandre V. ...and 2,861 more Authors
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### Cited in 438 Serials

 206 Journal of Mathematical Physics 203 Journal of Functional Analysis 114 Journal of Mathematical Analysis and Applications 103 Communications in Mathematical Physics 77 Theoretical and Mathematical Physics 74 Stochastic Processes and their Applications 71 Infinite Dimensional Analysis, Quantum Probability and Related Topics 71 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 64 Reports on Mathematical Physics 58 Potential Analysis 55 Journal of Statistical Physics 52 The Annals of Probability 46 Journal of Mathematical Sciences (New York) 44 Mathematical Notes 42 Reviews in Mathematical Physics 41 Letters in Mathematical Physics 40 Journal of Differential Equations 37 Probability Theory and Related Fields 36 Transactions of the American Mathematical Society 35 Ukrainian Mathematical Journal 35 Acta Applicandae Mathematicae 33 International Journal of Theoretical Physics 33 Integral Equations and Operator Theory 32 Annales Henri Poincaré 31 Stochastic Analysis and Applications 28 Journal of Geometry and Physics 28 Russian Journal of Mathematical Physics 26 Journal of Theoretical Probability 26 Doklady Mathematics 25 Complex Analysis and Operator Theory 24 Mathematische Nachrichten 23 Proceedings of the American Mathematical Society 23 Bulletin des Sciences Mathématiques 22 Communications in Algebra 22 Physics Letters. A 21 Functional Analysis and its Applications 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Annals of Physics 18 Advances in Mathematics 18 Acta Mathematica Sinica. English Series 18 Proceedings of the Steklov Institute of Mathematics 17 Linear Algebra and its Applications 17 Mathematical Physics, Analysis and Geometry 16 Applied Mathematics and Computation 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 15 Statistics & Probability Letters 15 The Journal of Fourier Analysis and Applications 15 Differential Equations 14 Linear and Multilinear Algebra 14 Annales de l’Institut Henri Poincaré. Physique Théorique 14 Theory of Probability and Mathematical Statistics 14 Lobachevskii Journal of Mathematics 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Stochastics 14 Journal of Physics A: Mathematical and Theoretical 13 SIAM Journal on Mathematical Analysis 13 Abstract and Applied Analysis 12 Frontiers of Mathematics in China 11 Mathematische Zeitschrift 11 Tohoku Mathematical Journal. Second Series 11 Russian Mathematics 11 Electronic Journal of Probability 11 Discrete and Continuous Dynamical Systems 11 Algebras and Representation Theory 11 Stochastics and Dynamics 11 Advances in Mathematical Physics 10 Nuclear Physics. B 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 The Annals of Applied Probability 10 Journal of Dynamics and Differential Equations 10 NoDEA. Nonlinear Differential Equations and Applications 10 Journal of Evolution Equations 10 Science China. Mathematics 9 Physica D 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Positivity 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Stochastic and Partial Differential Equations. Analysis and Computations 8 Journal d’Analyse Mathématique 8 Monatshefte für Mathematik 8 Siberian Mathematical Journal 8 Applied Mathematics Letters 8 Forum Mathematicum 8 Annales Mathématiques Blaise Pascal 8 Analysis and Mathematical Physics 7 Applicable Analysis 7 Rocky Mountain Journal of Mathematics 7 Applied Mathematics and Optimization 7 Inventiones Mathematicae 7 Journal of Computational and Applied Mathematics 7 Journal of Soviet Mathematics 7 Mathematische Annalen 7 Results in Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Indagationes Mathematicae. New Series 7 Journal of High Energy Physics 7 Czechoslovak Journal of Physics 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Pseudo-Differential Operators and Applications 7 Journal of Spectral Theory ...and 338 more Serials
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### Cited in 62 Fields

 1,327 Probability theory and stochastic processes (60-XX) 938 Quantum theory (81-XX) 820 Partial differential equations (35-XX) 748 Operator theory (47-XX) 467 Functional analysis (46-XX) 357 Statistical mechanics, structure of matter (82-XX) 298 Ordinary differential equations (34-XX) 198 Measure and integration (28-XX) 183 Dynamical systems and ergodic theory (37-XX) 179 Global analysis, analysis on manifolds (58-XX) 166 Number theory (11-XX) 143 Harmonic analysis on Euclidean spaces (42-XX) 139 Potential theory (31-XX) 132 Nonassociative rings and algebras (17-XX) 130 Fluid mechanics (76-XX) 79 Mathematical logic and foundations (03-XX) 78 Real functions (26-XX) 71 Numerical analysis (65-XX) 71 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Topological groups, Lie groups (22-XX) 55 Abstract harmonic analysis (43-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 46 Mechanics of particles and systems (70-XX) 43 Combinatorics (05-XX) 40 Biology and other natural sciences (92-XX) 40 Systems theory; control (93-XX) 39 Differential geometry (53-XX) 30 Difference and functional equations (39-XX) 28 Functions of a complex variable (30-XX) 28 Integral equations (45-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Associative rings and algebras (16-XX) 25 Statistics (62-XX) 24 Special functions (33-XX) 24 General topology (54-XX) 24 Relativity and gravitational theory (83-XX) 19 Field theory and polynomials (12-XX) 19 Optics, electromagnetic theory (78-XX) 18 Algebraic geometry (14-XX) 16 Integral transforms, operational calculus (44-XX) 15 Approximations and expansions (41-XX) 15 Computer science (68-XX) 15 Information and communication theory, circuits (94-XX) 13 Mechanics of deformable solids (74-XX) 12 Group theory and generalizations (20-XX) 12 Operations research, mathematical programming (90-XX) 10 General and overarching topics; collections (00-XX) 10 Manifolds and cell complexes (57-XX) 9 History and biography (01-XX) 9 Geophysics (86-XX) 7 Commutative algebra (13-XX) 7 Category theory; homological algebra (18-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Sequences, series, summability (40-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic topology (55-XX) 3 $$K$$-theory (19-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX)

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