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Smolyanov, Oleg Georgievich

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Author ID: smolyanov.oleg-georgievich Recent zbMATH articles by "Smolyanov, Oleg Georgievich"
Published as: Smol’yanov, O. G.; Smolyanov, O.; Smolyanov, O. G.; Smolyanov, Oleg; Smolyanov, Oleg G.
External Links: MGP · Math-Net.Ru
Documents Indexed: 244 Publications since 1964, including 3 Books
Biographic References: 2 Publications
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Co-Authors

36 single-authored
27 von Weizsäcker, Heinrich
15 Shavgulidze, Eugene T.
14 Averbukh, Vladimir I.
14 Wittich, Olaf
13 Khrennikov, Andreĭ Yur’evich
12 Accardi, Luigi
12 Albeverio, Sergio A.
12 Kozlov, Valeriĭ Vasil’evich
12 Kupsch, Joachim
12 Sakbaev, Vsevolod Zhanovich
12 Truman, Aubrey
10 Gough, John E.
10 Ratiu, Tudor Stefan
9 Shamarov, Nikolaĭ Nikolaevich
7 Kinderknecht, Yana A.
7 Sidorova, Nadia
6 Orlov, Yurii N.
6 Smolyanova, M. O.
5 Bogachev, Vladimir Igorevich
5 Fomin, Sergey Vasil’evich
4 Kupsch, I.
4 Montaldi, James A.
4 Schilling, René Leander
4 Shkarin, Stanislav A.
3 Belavkin, Viacheslav
3 Grothaus, Martin
3 Obrezkov, Oleg O.
3 Sadovnichiĭ, Viktor Antonovich
2 Aleksandrov, Pavel Sergeevich
2 Dalets’kyĭ, Yuriĭ L’vovych
2 García-Naranjo, Luis C.
2 Gel’fand, Israil’ Moiseevich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kolokoltsov, Vassili N.
2 Léandre, Rémi
2 Maikov, E. V.
2 Maslov, Viktor Pavlovich
2 Norin, N. V.
2 Oleĭnik, Ol’ga Arsen’evna
2 Sakbaev, V. G.
2 Shelkovich, Vladimir M.
2 Sinaĭ, Yakov Grigor’evich
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Tolstyga, D. S.
1 Amosov, Grigori G.
1 Antoniou, Ioannis E.
1 Antoniou, Ya.
1 Belyaev, Alexei A.
1 Böttcher, Björn
1 Davies, Ian M.
1 Durran, Richard M.
1 Gadella, Manuel
1 Gómez, Federico
1 Kpekpassi, M.
1 Kravtseva, A. K.
1 Lobanov, S. G.
1 Neate, Andrew D.
1 Querdiane, Habib
1 Rozelli, P.
1 Schachermayer, Walter
1 Tokarev, A. G.
1 Trumen, A.
1 Uglanov, Alexey V.
1 Zamana, K. Yu.

Publications by Year

Citations contained in zbMATH Open

172 Publications have been cited 1,035 times in 477 Documents Cited by Year
Hamiltonian Feynman path integrals via the Chernoff formula. Zbl 1060.58009
Smolyanov, O. G.; Tokarev, A. G.; Truman, A.
68
2002
The various definitions of the derivative in linear topological spaces. Zbl 0196.15702
Averbukh, V. I.; Smolyanov, O. G.
55
1968
The theory of differentiation in linear topological spaces. Zbl 0312.46054
Averbukh, V. I.; Smolyanov, O. G.
50
1967
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
42
2007
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0234.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
32
1971
Measures on linear topological spaces. Zbl 0364.28010
Smolyanov, O. G.; Fomin, S. V.
29
1976
Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
24
2014
Brownian motion on a manifold as limit of stepwise conditioned standard Brownian motions. Zbl 0978.58015
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
22
2000
Analytic properties of infinite-dimensional distributions. Zbl 0708.60049
Bogachëv, V. I.; Smolyanov, O. G.
22
1990
Unbounded random operators and Feynman formulae. Zbl 1422.47049
Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G.
21
2016
Topological vector spaces and their applications. Translated from the Russian. Expanded and revised translation, originally published 2012. Zbl 1378.46001
Bogachev, V. I.; Smolyanov, O. G.
18
2017
Feynman formulas for particles with position-dependent mass. Zbl 1159.35426
Gadella, M.; Smolyanov, O. G.
17
2008
Smooth probability measures and associated differential operators. Zbl 0936.60052
Smolyanov, O. G.; von Weizsäcker, H.
17
1999
Die Theorie der Differentiation in linearen topologischen Räumen. Zbl 0195.42601
Averbukh, V. I.; Smolyanov, O. G.
16
1967
Lagrangian Feynman formulas for second-order parabolic equations in bounded and unbounded domains. Zbl 1204.47096
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
14
2010
Differentiable families of measures. Zbl 0795.46015
Smolyanov, O. G.; von Weizsäcker, H.
14
1993
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070
Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G.
13
2012
Surface measures and initial boundary value problems generated by diffusions with drift. Zbl 1156.58014
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
13
2007
Feynman formulae for Feller semigroups. Zbl 1213.47047
Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L.
11
2010
The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold. Zbl 1046.58014
Sidorova, Nadezda A.; Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
11
2004
Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257
Smolyanov, O. G.; Shavgulidze, E. T.
10
2006
Representation of solutions of linear evolution superdifferential equations of second order by functional integrals. Zbl 0706.35119
Smolyanov, O. G.; Shavgulidze, E. T.
10
1990
Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions. Zbl 1335.81103
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
9
2016
Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034
Accardi, L.; Smolyanov, O. G.
9
2009
Diffusion on compact Riemannian manifolds, and surface measures. Zbl 1047.58006
von Weizsäcker, H.; Smolyanov, O. G.; Wittich, O.
9
2000
Functional representations for Fock superalgebras. Zbl 0913.46059
Kupsch, Joachim; Smolyanov, Oleg G.
9
1998
Infinite-dimensional pseudodifferential operators and Schrödinger quantization. Zbl 0534.35087
Smolyanov, O. G.
9
1982
Verallgemeinerte Funktionen und Differentialgleichungen in linearen Räumen. Zbl 0247.46055
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
9
1972
Hamiltonian and Feynman aspects of secondary quantization. Zbl 1312.81143
Ratiu, T. S.; Smolyanov, O. G.
8
2013
Feynman-Kac and Feynman formulas for infinite-dimensional equations with Vladimirov operator. Zbl 1251.35181
Smolyanov, O. G.; Shamarov, N. N.; Kpekpassi, M.
8
2011
Feynman formulas and path integrals for evolution equations with the Vladimirov operator. Zbl 1180.81069
Smolyanov, O. G.; Shamarov, N. N.
8
2009
Feynman formulae for evolutionary equations. Zbl 1173.58006
Smolyanov, Oleg G.
8
2009
Feynman formula for a class of second-order parabolic equations in a bounded domain. Zbl 1218.81037
Butko, Ya. A.; Grothaus, M.; Smolyanov, O. G.
8
2008
Feynman and Feynman-Kac formulas for evolution equations with Vladimirov operator. Zbl 1185.35351
Smolyanov, O. G.; Shamarov, N. N.
8
2008
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
8
2006
Schrödinger-Belavkin equations and associated Kolmogorov and Lindblad equations. Zbl 1113.81310
Smolyanov, O. G.; Truman, A.
8
1999
Ordinary differential equations in locally convex spaces. Zbl 0834.34076
Lobanov, S. G.; Smolyanov, O. G.
8
1994
Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
7
2012
Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006
Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G.
7
2011
Feynman formulas generated by self-adjoint extensions of the Laplacian. Zbl 1175.81106
Smolyanov, O. G.; von Weizsäcker, H.
7
2009
Classical and nonclassical Levy Laplacians. Zbl 1155.35482
Accardi, L.; Smolyanov, O. G.
7
2007
Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations. Zbl 1133.35109
Gough, J.; Obrezkov, O. O.; Smolyanov, O. G.
7
2005
Chernoff’s theorem and the construction of semigroups. Zbl 1057.47044
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
7
2003
The Fourier transform and pseudodifferential operators in superanalysis. Zbl 0699.47036
Smolyanov, O. G.; Shavgulidze, E. T.
7
1988
Real and functional analysis. Zbl 07188214
Bogachev, Vladimir I.; Smolyanov, Oleg G.
6
2020
Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086
Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N.
6
2014
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems. Zbl 1295.81097
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
6
2014
Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains. Zbl 1280.81049
Smolyanov, O. G.; Tolstyga, D. S.
6
2013
Hamiltonian aspects of quantum theory. Zbl 1260.81092
Kozlov, V. V.; Smolyanov, O. G.
6
2012
Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates. Zbl 1241.81077
Smolyanov, Oleg G.; Tolstyga, D. S.; von Weizsäcker, Heinrich
6
2011
Hamiltonian Feynman formulas for equations containing the vladimirov operator with variable coefficients. Zbl 1248.35242
Smolyanov, O. G.; Shamarov, N. N.
6
2011
Dynamics of a quantum particle with discontinuous position-dependent mass. Zbl 1200.81054
Sakbaev, V. G.; Smolyanov, O. G.
6
2010
Kolmogorov probability spaces describing accardi models of quantum correlations. Zbl 1082.81023
Khrennikov, Andrei; Smolyanov, O. G.; Truman, A.
6
2005
Lévy Laplacian acting on operators. Zbl 1142.47362
Accardi, L.; Querdiane, H.; Smolyanov, O. G.
6
2003
States of quantum systems and their liftings. Zbl 1014.81009
Kupsch, Joachim; Smolyanov, Oleg G.; Sidorova, Nadejda A.
6
2001
Continuous quantum measurement: Local and global approaches. Zbl 0894.47058
Albeverio, S.; Kolokol’tsov, V. N.; Smolyanov, O. G.
6
1997
Change of variable formulas for infinite-dimensional distributions. Zbl 0898.46043
Accardi, Luigi; Smolyanov, O. G.; Smolyanova, M. O.
6
1996
Measurable polylinear and power functionals in certain linear spaces with a measure. Zbl 0161.11304
Smolyanov, O. G.
6
1966
Schrodinger type semigroups via Feynman formulae and all that. Zbl 1354.47030
Smolyanov, O. G.
5
2013
Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114
Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G.
5
2011
Wigner function and diffusion in a collision-free medium of quantum particles. Zbl 1120.82005
Kozlov, V. V.; Smolyanov, O. G.
5
2007
Hilbert norms for graded algebras. Zbl 0955.46026
Kupsch, Joachim; Smolyanov, Oleg G.
5
2000
The space \(D\) is not hereditarily complete. Zbl 0249.46020
Smolyanov, O. G.
5
1972
Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures. Zbl 1341.81038
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
4
2015
Invariant and quasi-invariant measures on infinite-dimensional spaces. Zbl 1367.46037
Kozlov, V. V.; Smolyanov, O. G.
4
2015
Noether’s theorem for dissipative quantum dynamical semi-groups. Zbl 1311.81161
Gough, John E.; Ratiu, Tudor S.; Smolyanov, Oleg G.
4
2015
Transformations of measures via their generalized densities. Zbl 1322.46029
Montaldi, J.; Smolyanov, O. G.
4
2014
Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065
Sakbaev, V. Zh.; Smolyanov, O. G.
4
2012
Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems. Zbl 1236.81143
Kozlov, V. V.; Smolyanov, O. G.
4
2011
Infinite-dimensional equation Liouville with respect to measures. Zbl 1210.37046
Kozlov, V. V.; Smolyanov, O. G.
4
2010
Hamiltonian Feynman integrals for equations with the Vladimirov operator. Zbl 1210.46061
Smolyanov, O. G.; Shamarov, N. N.
4
2010
The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244
Smolyanov, O. G.; Shavgulidze, Eugene T.
4
2003
Lévy–Laplace operators in functional rigged Hilbert spaces. Zbl 1033.35134
Accardi, L.; Smolyanov, O. G.
4
2002
The probabilistic Feynman-Kac formula for an infinite-dimensional Schrödinger equation with exponential and singular potentials. Zbl 0940.35207
Albeverio, Sergio; Khrennikov, Andrew; Smolyanov, Oleg
4
1999
Transformations of Feynman integrals under nonlinear transformations of the phase space. Zbl 1041.81549
Smolyanov, O. G.; Smolyanova, M. O.
4
1994
De Rham currents and Stokes’ formula in a Hilbert space. Zbl 0608.58004
Smolyanov, O. G.
4
1986
The Gross-Sazonov theorem for signed cylindrical measures. Zbl 0527.28017
Smolyanov, O. G.
4
1983
Generalized functions and differential equations in linear spaces. I: Differentiable measures. Zbl 0295.28005
Averbukh, V. I.; Smolyanov, O. G.; Fomin, S. V.
4
1974
Every Hilbert subspace of a Wiener space has measure zero. Zbl 0369.28008
Smolyanov, O. G.; Uglanov, A. V.
4
1973
Randomized Hamiltonian mechanics. Zbl 1428.81080
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
3
2019
Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057
Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T.
3
2016
Representations of solutions of Lindblad equations by randomized Feynman formulas. Zbl 1341.81036
Obrezkov, O. O.; Smolyanov, O. G.
3
2016
Diffusion and quantum dynamics on graphs. Zbl 1283.47050
Sakbaev, V. Zh.; Smolyanov, O. G.
3
2013
Exact master equations describing reduced dynamics of the Wigner function. Zbl 1151.81351
Kupsch, J.; Smolyanov, O. G.
3
2008
Nonstationary Kolmogorov probability models describing quantum measurements. Zbl 1327.81033
Smolyanov, O. G.; Khrennikov, A. Yu.
3
2006
Information entropy in problems of classical and quantum statistical mechanics. Zbl 1206.82054
Kozlov, V. V.; Smolyanov, O. G.
3
2006
Wiener surface measures on trajectories in Riemannian manifolds. Zbl 1197.58009
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.; Sidorova, N. A.
3
2002
Locally convex spaces of vector-valued distributions with multiplicative structures. Zbl 1058.46018
Khrennikov, A. Yu.; Shelkovich, V. M.; Smolyanov, O. G.
3
2002
Surface measures on trajectories in Riemannian manifolds generated by diffusions. Zbl 1052.58037
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.; Sidorova, N. A.
3
2001
Feynman formulas for solutions of the Schrödinger equation on compact Riemannian manifolds. Zbl 0995.58023
Smolyanov, O. G.; Truman, A.
3
2000
Bogolyubov transformations in Wiener-Segal-Fock space. Zbl 1046.81059
Kupsch, J.; Smolyanov, O. G.
3
2000
Change of variable formulas for Feynman pseudomeasures. Zbl 1024.28012
Smolyanov, O. G.; Truman, A.
3
1999
Feynman path integral corresponding to the Schrödinger stochastic equation. Zbl 1065.81564
Belavkin, V. P.; Smolyanov, O. G.
3
1998
Infinite-dimensional stochastic Schrödinger-Belavkin equations. Zbl 0916.35128
Albeverio, S.; Smolyanov, O. G.
3
1997
Change of measures and their logarithmic derivatives under smooth transformations. Zbl 0836.60003
Smolyanov, Oleg G.; von Weizsäcker, Heinrich
3
1995
A simple proof of the Tarieladze’s theorem on the sufficiency of positively sufficient topologies. Zbl 0770.60004
Smolyanov, O. G.; Shavgulidze, E. T.
3
1992
Functional integrals. Zbl 0746.46043
Smol’yanov, O. G.; Shavgulidze, E. T.
3
1990
Measurable linear manifolds in products of linear spaces with measure. Zbl 0207.43903
Smolyanov, O. G.
3
1969
Hamiltonian Feynman measures, Kolmogorov integral, and infinite-dimensional pseudodifferential operators. Zbl 1436.35336
Smolyanov, O. G.; Shamarov, N. N.
2
2019
Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2
2019
Real and functional analysis. Zbl 07188214
Bogachev, Vladimir I.; Smolyanov, Oleg G.
6
2020
Randomized Hamiltonian mechanics. Zbl 1428.81080
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
3
2019
Hamiltonian Feynman measures, Kolmogorov integral, and infinite-dimensional pseudodifferential operators. Zbl 1436.35336
Smolyanov, O. G.; Shamarov, N. N.
2
2019
Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2
2019
Hamiltonian approach to secondary quantization. Zbl 1410.81029
Kozlov, V. V.; Smolyanov, O. G.
2
2018
Topological vector spaces and their applications. Translated from the Russian. Expanded and revised translation, originally published 2012. Zbl 1378.46001
Bogachev, V. I.; Smolyanov, O. G.
18
2017
Feynman formulas for nonlinear evolution equations. Zbl 1458.46030
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2
2017
Measures on the Hilbert space of a quantum system. Zbl 1373.81040
Khrennikov, Andrei Yu.; Smolyanov, O. G.
2
2017
Relationship between the Itô-Schrödinger and Hudson-Parthasarathy equations. Zbl 1366.81214
Obrezkov, O. O.; Smolyanov, O. G.
1
2017
Noether theorems and quantum anomalies. Zbl 1366.81260
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
1
2017
Unbounded random operators and Feynman formulae. Zbl 1422.47049
Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G.
21
2016
Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions. Zbl 1335.81103
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
9
2016
Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent. Zbl 1361.81057
Kravtseva, A. K.; Smolyanov, O. G.; Shavgulidze, E. T.
3
2016
Representations of solutions of Lindblad equations by randomized Feynman formulas. Zbl 1341.81036
Obrezkov, O. O.; Smolyanov, O. G.
3
2016
Analogues of Feynman formulas for ill-posed problems associated with the Schrödinger equation. Zbl 1372.35353
Sakbaev, V. G.; Smolyanov, O. G.
2
2016
Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures. Zbl 1351.81077
Garsía-Naranjo, L. C.; Montaldi, J.; Smolyanov, O. G.
2
2016
Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures. Zbl 1341.81038
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
4
2015
Invariant and quasi-invariant measures on infinite-dimensional spaces. Zbl 1367.46037
Kozlov, V. V.; Smolyanov, O. G.
4
2015
Noether’s theorem for dissipative quantum dynamical semi-groups. Zbl 1311.81161
Gough, John E.; Ratiu, Tudor S.; Smolyanov, Oleg G.
4
2015
Wigner measures and quantum control. Zbl 1321.81030
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
2
2015
Wigner quantization of Hamilton-Dirac systems. Zbl 1337.81082
Ratiu, T. S.; Smolyanov, O. G.
1
2015
Hamiltonian structures in the quantum theory of Hamilton-Dirac systems. Zbl 1337.81086
Ratiu, T. S.; Smolyanov, O. G.
1
2015
Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
24
2014
Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086
Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N.
6
2014
Feynman, Wigner, and Hamiltonian structures describing the dynamics of open quantum systems. Zbl 1295.81097
Gough, J.; Ratiu, T. S.; Smolyanov, O. G.
6
2014
Transformations of measures via their generalized densities. Zbl 1322.46029
Montaldi, J.; Smolyanov, O. G.
4
2014
Hamiltonian functional integrals representing regularized traces of higher-order differential operators. Zbl 1306.47055
Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T.
1
2014
Hamiltonian and Feynman aspects of secondary quantization. Zbl 1312.81143
Ratiu, T. S.; Smolyanov, O. G.
8
2013
Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains. Zbl 1280.81049
Smolyanov, O. G.; Tolstyga, D. S.
6
2013
Schrodinger type semigroups via Feynman formulae and all that. Zbl 1354.47030
Smolyanov, O. G.
5
2013
Diffusion and quantum dynamics on graphs. Zbl 1283.47050
Sakbaev, V. Zh.; Smolyanov, O. G.
3
2013
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070
Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G.
13
2012
Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
7
2012
Hamiltonian aspects of quantum theory. Zbl 1260.81092
Kozlov, V. V.; Smolyanov, O. G.
6
2012
Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065
Sakbaev, V. Zh.; Smolyanov, O. G.
4
2012
Representation of regularized traces of operators by functional integrals. Zbl 1263.47058
Sadovnichii, V. A.; Smolyanov, O. G.; Shavgulidze, E. T.
2
2012
Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066
Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G.
1
2012
A Burgers-Zeldovich model for the formation of planetesimals via Nelson’s stochastic mechanics. Zbl 1260.85042
Durran, Richard; Neate, Andrew; Truman, Aubrey; Smolyanov, Oleg
1
2012
Feynman-Kac and Feynman formulas for infinite-dimensional equations with Vladimirov operator. Zbl 1251.35181
Smolyanov, O. G.; Shamarov, N. N.; Kpekpassi, M.
8
2011
Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization. Zbl 1311.58006
Böttcher, B.; Butko, Ya. A.; Schilling, R. L.; Smolyanov, O. G.
7
2011
Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates. Zbl 1241.81077
Smolyanov, Oleg G.; Tolstyga, D. S.; von Weizsäcker, Heinrich
6
2011
Hamiltonian Feynman formulas for equations containing the vladimirov operator with variable coefficients. Zbl 1248.35242
Smolyanov, O. G.; Shamarov, N. N.
6
2011
Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass. Zbl 1226.81114
Butko, Yana A.; Schilling, Rene L.; Smolyanov, Oleg G.
5
2011
Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems. Zbl 1236.81143
Kozlov, V. V.; Smolyanov, O. G.
4
2011
Lagrangian Feynman formulas for second-order parabolic equations in bounded and unbounded domains. Zbl 1204.47096
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
14
2010
Feynman formulae for Feller semigroups. Zbl 1213.47047
Butko, Ya. A.; Smolyanov, O. G.; Schilling, R. L.
11
2010
Dynamics of a quantum particle with discontinuous position-dependent mass. Zbl 1200.81054
Sakbaev, V. G.; Smolyanov, O. G.
6
2010
Infinite-dimensional equation Liouville with respect to measures. Zbl 1210.37046
Kozlov, V. V.; Smolyanov, O. G.
4
2010
Hamiltonian Feynman integrals for equations with the Vladimirov operator. Zbl 1210.46061
Smolyanov, O. G.; Shamarov, N. N.
4
2010
The Gough-James model for quantum feedback networks in Belavkin’s representation. Zbl 1218.81071
Smolyanov, O. G.; Truman, A.
1
2010
Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034
Accardi, L.; Smolyanov, O. G.
9
2009
Feynman formulas and path integrals for evolution equations with the Vladimirov operator. Zbl 1180.81069
Smolyanov, O. G.; Shamarov, N. N.
8
2009
Feynman formulae for evolutionary equations. Zbl 1173.58006
Smolyanov, Oleg G.
8
2009
Feynman formulas generated by self-adjoint extensions of the Laplacian. Zbl 1175.81106
Smolyanov, O. G.; von Weizsäcker, H.
7
2009
Change of variable formulas for integrals over superspaces. Zbl 1182.81053
Smolyanov, O. G.; von Weizsäcker, H.
1
2009
Generalized Kolmogorov models for probabilistic quantum-type experiments. Zbl 1180.81008
Smolyanov, O. G.; Khrennikov, A. Yu.
1
2009
Representation of solutions to evolution equations with Vladimirov operator in terms of Feynman path integrals. Zbl 1175.81145
Smolyanov, O. G.; Shamarov, N. N.
1
2009
Generalized Wiener-Segal-Fock representations and Feynman formulae. Zbl 1175.81144
Kupsch, J.; Smolyanov, O. G.
1
2009
Feynman formulas for particles with position-dependent mass. Zbl 1159.35426
Gadella, M.; Smolyanov, O. G.
17
2008
Feynman formula for a class of second-order parabolic equations in a bounded domain. Zbl 1218.81037
Butko, Ya. A.; Grothaus, M.; Smolyanov, O. G.
8
2008
Feynman and Feynman-Kac formulas for evolution equations with Vladimirov operator. Zbl 1185.35351
Smolyanov, O. G.; Shamarov, N. N.
8
2008
Exact master equations describing reduced dynamics of the Wigner function. Zbl 1151.81351
Kupsch, J.; Smolyanov, O. G.
3
2008
Modified Lévy Laplacians. Zbl 1186.46043
Gomez, F.; Smolyanov, O. G.
2
2008
Representation of solutions to a heat conduction equation with Vladimirov’s operator by functional integrals. Zbl 1304.81112
Smolyanov, O. G.; Shamarov, N. N.
1
2008
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
42
2007
Surface measures and initial boundary value problems generated by diffusions with drift. Zbl 1156.58014
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
13
2007
Classical and nonclassical Levy Laplacians. Zbl 1155.35482
Accardi, L.; Smolyanov, O. G.
7
2007
Wigner function and diffusion in a collision-free medium of quantum particles. Zbl 1120.82005
Kozlov, V. V.; Smolyanov, O. G.
5
2007
Feynman formulas for evolution equations with Levy Laplacians on manifolds. Zbl 1143.35101
Accardi, L.; Smolyanov, O. G.
2
2007
Weak convergence of states in quantum statistical mechanics. Zbl 1151.82324
Kozlov, V. V.; Smolyanov, O. G.
1
2007
Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals. Zbl 1327.81257
Smolyanov, O. G.; Shavgulidze, E. T.
10
2006
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
8
2006
Nonstationary Kolmogorov probability models describing quantum measurements. Zbl 1327.81033
Smolyanov, O. G.; Khrennikov, A. Yu.
3
2006
Information entropy in problems of classical and quantum statistical mechanics. Zbl 1206.82054
Kozlov, V. V.; Smolyanov, O. G.
3
2006
Surface integrals in Riemannian spaces and Feynman formulas. Zbl 1327.58015
Smolyanov, O. G.; von Weizsaecker, H.; Wittich, O.
1
2006
Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations. Zbl 1133.35109
Gough, J.; Obrezkov, O. O.; Smolyanov, O. G.
7
2005
Kolmogorov probability spaces describing accardi models of quantum correlations. Zbl 1082.81023
Khrennikov, Andrei; Smolyanov, O. G.; Truman, A.
6
2005
Probabilistic measurement models with noncommuting and commuting observables. Zbl 1272.81018
Smolyanov, O. G.; Khrennikov, A. Yu.
1
2005
Construction of diffusions on sets of mappings from an interval to compact Riemannian manifolds. Zbl 1272.60055
Smolyanov, O. G.; von Weizsaecker, H.; Wittich, O.
1
2005
Reduced dynamics of subsystems of quantum systems with quadratic Hamiltonians. Zbl 1200.81101
Kupsch, J.; Smolyanov, O. G.
1
2005
The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold. Zbl 1046.58014
Sidorova, Nadezda A.; Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
11
2004
Brownian motion close to submanifolds of Riemannian manifolds. Zbl 1083.58033
Sidorova, N.; Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
2
2004
Complex Gâteaux differentiability, and continuity. Zbl 1082.46031
Smolyanov, O. G.; Shkarin, S. A.
2
2004
The Feynman formula for the Cauchy problem in domains with boundary. Zbl 1246.81092
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
1
2004
Chernoff’s theorem and the construction of semigroups. Zbl 1057.47044
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.
7
2003
Lévy Laplacian acting on operators. Zbl 1142.47362
Accardi, L.; Querdiane, H.; Smolyanov, O. G.
6
2003
The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. Zbl 1247.81244
Smolyanov, O. G.; Shavgulidze, Eugene T.
4
2003
Feynman integrals over trajectories in Riemannian manifolds. Zbl 1125.58010
Smolyanov, O. G.; Truman, A.
2
2003
Asymptotic decoherence in infinite-dimensional quantum systems with quadratic Hamiltonians. Zbl 1026.81026
Kupsch, J.; Smolyanov, O. G.
2
2003
Schrödinger quantization of Hamilton-Dirac systems and Feynman integrals over superspaces. Zbl 1282.35318
Albeverio, S; Smolyanov, O. G.
1
2003
Time operators for one parameter semigroups. Zbl 1106.47302
Smolyanov, O. G.; Shkarin, S. A.
1
2003
A nonclassical Kolmogorov-type model describing quantum experiments. Zbl 1112.81334
Smolyanov, O. G.; Khrennikov, A. Yu.
1
2003
Hamiltonian Feynman path integrals via the Chernoff formula. Zbl 1060.58009
Smolyanov, O. G.; Tokarev, A. G.; Truman, A.
68
2002
Lévy–Laplace operators in functional rigged Hilbert spaces. Zbl 1033.35134
Accardi, L.; Smolyanov, O. G.
4
2002
Wiener surface measures on trajectories in Riemannian manifolds. Zbl 1197.58009
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.; Sidorova, N. A.
3
2002
Locally convex spaces of vector-valued distributions with multiplicative structures. Zbl 1058.46018
Khrennikov, A. Yu.; Shelkovich, V. M.; Smolyanov, O. G.
3
2002
Multiplicative structures in the linear space of vector-valued distributions. Zbl 1223.46043
Smolyanov, O. G.; Khrennikov, A. Yu.; Shelkovich, V. M.
2
2002
Representations of Lévy Laplacians and related semigroups and harmonic functions. Zbl 1198.46036
Accardi, L.; Smolyanov, O. G.
1
2002
States of quantum systems and their liftings. Zbl 1014.81009
Kupsch, Joachim; Smolyanov, Oleg G.; Sidorova, Nadejda A.
6
2001
Surface measures on trajectories in Riemannian manifolds generated by diffusions. Zbl 1052.58037
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.; Sidorova, N. A.
3
2001
...and 72 more Documents
all top 5

Cited by 368 Authors

87 Smolyanov, Oleg Georgievich
27 Sakbaev, Vsevolod Zhanovich
17 Khrennikov, Andreĭ Yur’evich
15 Bogachev, Vladimir Igorevich
15 Orlov, Yurii N.
14 Shamarov, Nikolaĭ Nikolaevich
13 Kinderknecht, Yana A.
11 Bentkus, Vidmants-Kastytis
11 Remizov, Ivan D.
11 von Weizsäcker, Heinrich
10 Accardi, Luigi
10 Volkov, Boris O.
9 Ratiu, Tudor Stefan
7 Albeverio, Sergio A.
6 Gough, John E.
6 Kozlov, Valeriĭ Vasil’evich
6 Kupsch, Joachim
6 Obrezkov, Oleg O.
6 Serovaiskii, S. Ya.
6 Shavgulidze, Eugene T.
6 Wittich, Olaf
5 Grothaus, Martin
5 Kumanogo, Naoto
5 Romanov, Volodymyr A.
5 Rybakov, Konstantin Aleksandrovich
5 Schilling, René Leander
4 Borisov, Leonid Andreevich
4 Kalinichenko, Artem A.
4 Kravtseva, A. K.
4 Léandre, Rémi
4 Norin, N. V.
4 Rguigui, Hafedh
4 Tolstyga, D. S.
4 Truman, Aubrey
4 Volovich, Igor’ Vasil’evich
3 Dubravina, V. A.
3 Ferrando, Juan Carlos
3 Ji, Un Cig
3 Kislitsyn, A. A.
3 Kozyrev, Sergeĭ Vladimirovich
3 Lobanov, S. G.
3 Loboda, Alexander A.
3 Massam, Helene M.
3 Mayer-Wolf, Eduardo
3 Mazzucchi, Sonia
3 Montaldi, James A.
3 Plyashechnik, A. S.
3 Sadovnichiĭ, Viktor Antonovich
3 Shkarin, Stanislav A.
3 Smolyanova, M. O.
3 Sukhinin, M. F.
3 Zavadsky, D. V.
2 Arutyunyan, Lavrentin M.
2 Barhoumi, Abdessatar
2 Bogdansky, Yu. V.
2 Burkatskii, M. O.
2 Chasco, María Jesús
2 Chen, Linghua
2 Coifman, Ronald Raphaël
2 Daletskii, Alexei
2 Dürr, Detlef
2 Efremova, Lyudmila S.
2 Fonseca-Mora, Christian A.
2 Fuhrman, Marco
2 Garola, Claudio
2 Glöckner, Helge
2 Grekhneva, A. D.
2 Hamilton, Eugene P.
2 Jakobsen, Espen Robstad
2 Kaminskij, V. A.
2 Kirillov, A. I.
2 Kolb, Martin
2 Konderla, T.
2 Kurapin, G. I.
2 Kurbyko, I. F.
2 Kuzemsky, Alexander Leonidovich
2 Mamon, Sergeĭ Vladimirovich
2 Martin Peinador, Elena
2 Nashed, M. Zuhair
2 Nel, Louis Daniel
2 Ouerdiane, Habib
2 Panyunin, N. M.
2 Papatriantafillou, Maria H.
2 Penot, Jean-Paul
2 Račkauskas, Alfredas Yurgevich
2 Saitô, Kimiaki
2 Sakbaev, V. G.
2 Schechter, Martin
2 Shamarova, Èvelina Yur’evna
2 Sharp, Bernice
2 Shelkovich, Vladimir M.
2 Sidorova, Nadia
2 Smolentsev, Nicolai Konstantinovich
2 Soraggi, Roberto Luiz
2 Stan, Aurel Iulian
2 Tarasenko, P. Yu.
2 Uglanov, Alexey V.
2 Vodová, Jiřina
2 Wu, Hau-Tieng
2 Wu, Nan
...and 268 more Authors
all top 5

Cited in 121 Serials

64 Mathematical Notes
59 Doklady Mathematics
33 Infinite Dimensional Analysis, Quantum Probability and Related Topics
26 Russian Journal of Mathematical Physics
25 Journal of Mathematical Sciences (New York)
14 Journal of Functional Analysis
13 Ukrainian Mathematical Journal
11 Journal of Mathematical Analysis and Applications
11 Journal of Mathematical Physics
10 Proceedings of the Steklov Institute of Mathematics
9 Lithuanian Mathematical Journal
9 Theoretical and Mathematical Physics
7 Lobachevskii Journal of Mathematics
6 International Journal of Theoretical Physics
6 Siberian Mathematical Journal
6 Russian Mathematics
5 Moscow University Mathematics Bulletin
5 Potential Analysis
5 Applied and Computational Harmonic Analysis
4 Bulletin of the Australian Mathematical Society
4 Journal of Geometry and Physics
4 Bulletin des Sciences Mathématiques
4 Izvestiya: Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Communications in Mathematical Physics
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Journal of Multivariate Analysis
3 Topology and its Applications
3 Open Systems & Information Dynamics
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Russian Mathematical Surveys
2 Reviews in Mathematical Physics
2 Chaos, Solitons and Fractals
2 The Annals of Probability
2 Journal of Optimization Theory and Applications
2 Journal of Soviet Mathematics
2 Manuscripta Mathematica
2 Mathematical Programming
2 Tohoku Mathematical Journal. Second Series
2 Acta Applicandae Mathematicae
2 Computational Mathematics and Mathematical Physics
2 Automation and Remote Control
2 Expositiones Mathematicae
2 Stochastics and Stochastics Reports
2 Cybernetics and Systems Analysis
2 Differential Equations
2 Foundations of Physics
2 Quantum Studies: Mathematics and Foundations
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Theoretical and Computational Fluid Dynamics
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Computing
1 Dissertationes Mathematicae
1 Fundamenta Mathematicae
1 Information Sciences
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal of Mathematical Economics
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Optimization
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Annals of Operations Research
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Communications in Statistics. Theory and Methods
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Georgian Mathematical Journal
1 Random Operators and Stochastic Equations
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Bernoulli
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
...and 21 more Serials
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Cited in 53 Fields

145 Quantum theory (81-XX)
140 Functional analysis (46-XX)
120 Probability theory and stochastic processes (60-XX)
97 Partial differential equations (35-XX)
96 Operator theory (47-XX)
72 Global analysis, analysis on manifolds (58-XX)
66 Measure and integration (28-XX)
21 Ordinary differential equations (34-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Mechanics of particles and systems (70-XX)
16 Statistical mechanics, structure of matter (82-XX)
12 Statistics (62-XX)
11 General topology (54-XX)
11 Systems theory; control (93-XX)
10 Topological groups, Lie groups (22-XX)
10 Real functions (26-XX)
10 Differential geometry (53-XX)
10 Operations research, mathematical programming (90-XX)
7 Computer science (68-XX)
7 Fluid mechanics (76-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Category theory; homological algebra (18-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Numerical analysis (65-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
3 Combinatorics (05-XX)
3 Nonassociative rings and algebras (17-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)

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