Albeverio, Sergio Mathematical aspects of Feynman path integrals, divergences, quantum fields and diagrams, and some more general reflections. (English) Zbl 1516.81089 Boi, Luciano (ed.) et al., When form becomes substance. Power of gestures, diagrammatical intuition and phenomenology of space. Cham: Birkhäuser. 267-282 (2022). MSC: 81Q30 81S40 00A30 PDFBibTeX XMLCite \textit{S. Albeverio}, in: When form becomes substance. Power of gestures, diagrammatical intuition and phenomenology of space. Cham: Birkhäuser. 267--282 (2022; Zbl 1516.81089) Full Text: DOI
Albeverio, Sergio; Borasi, Luigi; De Vecchi, Francesco C.; Gubinelli, Massimiliano Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions. (English) Zbl 1513.81121 Probab. Theory Relat. Fields 183, No. 3-4, 909-995 (2022). MSC: 81T75 81S20 81T08 60H15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Probab. Theory Relat. Fields 183, No. 3--4, 909--995 (2022; Zbl 1513.81121) Full Text: DOI arXiv
Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania Mean-field limit for a class of stochastic ergodic control problems. (English) Zbl 1483.49052 SIAM J. Control Optim. 60, No. 1, 479-504 (2022). MSC: 49N80 60H10 60F15 49N05 49N10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., SIAM J. Control Optim. 60, No. 1, 479--504 (2022; Zbl 1483.49052) Full Text: DOI arXiv
Albeverio, Sergio; De Vecchi, Francesco C.; Gubinelli, Massimiliano The elliptic stochastic quantization of some two dimensional Euclidean QFTs. (English) Zbl 1483.60086 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2372-2414 (2021). MSC: 60H15 81T08 81T40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 4, 2372--2414 (2021; Zbl 1483.60086) Full Text: DOI arXiv
Albeverio, S.; Cangiotti, N.; Mazzucchi, S. A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field. (English) Zbl 1465.46079 Commun. Math. Phys. 377, No. 2, 1461-1503 (2020). Reviewer: Stefan Groote (Tartu) MSC: 46T12 46G12 81S40 81Q05 81Q20 46N50 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 377, No. 2, 1461--1503 (2020; Zbl 1465.46079) Full Text: DOI arXiv
Albeverio, S.; Motovilov, A. K. Solvability of the operator Riccati equation in the Feshbach case. (English. Russian original) Zbl 07083420 Math. Notes 105, No. 4, 485-502 (2019); translation from Mat. Zametki 105, No. 4, 483-505 (2019). MSC: 47A52 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. K. Motovilov}, Math. Notes 105, No. 4, 485--502 (2019; Zbl 07083420); translation from Mat. Zametki 105, No. 4, 483--505 (2019) Full Text: DOI arXiv
Albeverio, Sergio; Figari, Rodolfo Quantum fields and point interactions. (English) Zbl 1414.81267 Rend. Mat. Appl., VII. Ser. 39, No. 2, 161-180 (2018). MSC: 81V19 81Q10 81Q15 47B25 70F07 46N50 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Figari}, Rend. Mat. Appl., VII. Ser. 39, No. 2, 161--180 (2018; Zbl 1414.81267) Full Text: Link
Albeverio, Sergio; Garko, Iryna; Ibragim, Muslem; Torbin, Grygoriy Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality. (English. French summary) Zbl 1422.11164 Bull. Sci. Math. 141, No. 2, 1-19 (2017). Reviewer: Jan Šustek (Ostrava) MSC: 11K55 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Bull. Sci. Math. 141, No. 2, 1--19 (2017; Zbl 1422.11164) Full Text: DOI
Albeverio, S.; Motovilov, A. K. On invariant graph subspaces of a \(J\)-self-adjoint operator in the Feshbach case. (English) Zbl 06701370 Math. Notes 100, No. 6, 761-773 (2016). MSC: 47-XX PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. K. Motovilov}, Math. Notes 100, No. 6, 761--773 (2016; Zbl 06701370) Full Text: DOI arXiv
Albeverio, Sergio; Kulyba, Yuliya; Pratsiovytyi, Mykola; Torbin, Grygoriy On singularity and fine spectral structure of random continued fractions. (English) Zbl 1377.11087 Math. Nachr. 288, No. 16, 1803-1813 (2015). MSC: 11K55 11J70 28A80 60G30 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Math. Nachr. 288, No. 16, 1803--1813 (2015; Zbl 1377.11087) Full Text: DOI
Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. (English) Zbl 1287.34016 Integral Equations Oper. Theory 77, No. 3, 303-354 (2013). MSC: 34B20 34B08 34B40 34L10 47A06 47B25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Integral Equations Oper. Theory 77, No. 3, 303--354 (2013; Zbl 1287.34016) Full Text: DOI arXiv
Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen Spherical Schrödinger operators with \({\delta}-\)type interactions. (English) Zbl 1282.81067 J. Math. Phys. 54, No. 5, 052103, 24 p. (2013). MSC: 81Q05 81Q10 34L10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Phys. 54, No. 5, 052103, 24 p. (2013; Zbl 1282.81067) Full Text: DOI arXiv
Albeverio, Sergio; Motovilov, Alexander K. Sharpening the norm bound in the subspace perturbation theory. (English) Zbl 1288.47006 Complex Anal. Oper. Theory 7, No. 4, 1389-1416 (2013). Reviewer: Miguel Lacruz (Sevilla) MSC: 47A15 47A62 47B15 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. K. Motovilov}, Complex Anal. Oper. Theory 7, No. 4, 1389--1416 (2013; Zbl 1288.47006) Full Text: DOI arXiv
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya. Scattering theory for Schrödinger operators with Bessel-type potentials. (English) Zbl 1253.47007 J. Reine Angew. Math. 666, 83-113 (2012). Reviewer: Molyboga Volodymyr (Kyiv) MSC: 47A40 34L40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Reine Angew. Math. 666, 83--113 (2012; Zbl 1253.47007) Full Text: DOI
Albeverio, Sergio; Danilov, Vladimir Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics. (English) Zbl 1238.35197 Math. Nachr. 285, No. 4, 426-439 (2012). MSC: 35R60 35C20 35Kxx PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Danilov}, Math. Nachr. 285, No. 4, 426--439 (2012; Zbl 1238.35197) Full Text: DOI
Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z.; Kudaybergenov, K. K. Additive derivations on generalized Arens algebras. (English) Zbl 1261.46064 Lobachevskii J. Math. 32, No. 3, 194-202 (2011). MSC: 46L57 46L10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Lobachevskii J. Math. 32, No. 3, 194--202 (2011; Zbl 1261.46064) Full Text: DOI arXiv
Albeverio, S.; Danilov, V. G. Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. (English) Zbl 1251.35204 Russ. J. Math. Phys. 18, No. 1, 10-25 (2011). MSC: 35S05 35F21 35A30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. G. Danilov}, Russ. J. Math. Phys. 18, No. 1, 10--25 (2011; Zbl 1251.35204) Full Text: DOI arXiv
Albeverio, S.; Motovilov, A. K. Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations. (English. Russian original) Zbl 1250.47021 Trans. Mosc. Math. Soc. 2011, 45-77 (2011); translation from Tr. Mosk. Mat. O.-va 2011, No. 1, 33 p. (2011). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47B15 47A56 47A62 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. K. Motovilov}, Trans. Mosc. Math. Soc. 2011, 33 p. (2011; Zbl 1250.47021); translation from Tr. Mosk. Mat. O.-va 2011, No. 1, 33 p. (2011) Full Text: DOI arXiv
Albeverio, Sergio; Lakaev, Saidakhmat N.; Djumanova, Ramiza Kh. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles. (English) Zbl 1180.81061 Rep. Math. Phys. 63, No. 3, 359-380 (2009). MSC: 81Q10 47B25 47N50 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rep. Math. Phys. 63, No. 3, 359--380 (2009; Zbl 1180.81061) Full Text: DOI arXiv
Albeverio, Sergio; Karwowski, Witold Jump processes on leaves of multibranching trees. (English) Zbl 1152.81310 J. Math. Phys. 49, No. 9, 093503, 20 p. (2008). MSC: 60J75 60J80 60K35 47D07 47N30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{W. Karwowski}, J. Math. Phys. 49, No. 9, 093503, 20 p. (2008; Zbl 1152.81310) Full Text: DOI arXiv
Albeverio, Sergio; Konstantinov, Alexei On the absolutely continuous spectrum of block operator matrices. (English) Zbl 1152.47003 Math. Nachr. 281, No. 8, 1079-1087 (2008). Reviewer: Jussi Behrndt (Berlin) MSC: 47A10 47A40 47A55 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Konstantinov}, Math. Nachr. 281, No. 8, 1079--1087 (2008; Zbl 1152.47003) Full Text: DOI
Albeverio, S.; Hryniv, R.; Mykytyuk, Ya. Reconstruction of radial Dirac and Schrödinger operators from two spectra. (English) Zbl 1132.47060 J. Math. Anal. Appl. 339, No. 1, 45-57 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47N50 81Q10 34A55 34L40 47E05 81U40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 339, No. 1, 45--57 (2008; Zbl 1132.47060) Full Text: DOI
Albeverio, S.; Lakaev, S. N.; Muminov, Z. I. On the number of eigenvalues of a model operator associated to a system of three-particles on lattices. (English) Zbl 1176.81045 Russ. J. Math. Phys. 14, No. 4, 377-387 (2007). MSC: 81Q10 47B25 47N50 82D20 70F07 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Russ. J. Math. Phys. 14, No. 4, 377--387 (2007; Zbl 1176.81045) Full Text: DOI
Albeverio, Sergio; Nizhnik, Leonid Schrödinger operators with nonlocal point interactions. (English) Zbl 1122.47040 J. Math. Anal. Appl. 332, No. 2, 884-895 (2007). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47F05 47B25 35J10 47A55 35Q40 81U40 47A40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{L. Nizhnik}, J. Math. Anal. Appl. 332, No. 2, 884--895 (2007; Zbl 1122.47040) Full Text: DOI
Albeverio, Sergio; Nizhnik, Leonid A Schrödinger operator with a \(\delta^{\prime}\)-interaction on a Cantor set and Krein–Feller operators. (English) Zbl 1105.47039 Math. Nachr. 279, No. 5-6, 467-476 (2006). Reviewer: Rostyslav Hryniv (Lviv) MSC: 47E05 47A55 47B25 81Q10 34L40 34B24 47A10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{L. Nizhnik}, Math. Nachr. 279, No. 5--6, 467--476 (2006; Zbl 1105.47039) Full Text: DOI
Albeverio, S.; Mazzucchi, S. Generalized Fresnel integrals. (English) Zbl 1096.28010 Bull. Sci. Math. 129, No. 1, 1-23 (2005). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 28C20 35S30 44A15 81S40 58J37 28C05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Bull. Sci. Math. 129, No. 1, 1--23 (2005; Zbl 1096.28010) Full Text: DOI
Albeverio, S.; Mazzucchi, S. Feynman path integrals for polynomially growing potentials. (English) Zbl 1095.81041 J. Funct. Anal. 221, No. 1, 83-121 (2005). Reviewer: Michael B. Mensky (Moskva) MSC: 81S40 28C20 47D06 35C20 81Q30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, J. Funct. Anal. 221, No. 1, 83--121 (2005; Zbl 1095.81041) Full Text: DOI Link
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. \(p\)-adic Colombeau–Egorov type theory of generalized functions. (English) Zbl 1065.46056 Math. Nachr. 278, No. 1-2, 3-16 (2005). MSC: 46S10 46F30 22E50 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Math. Nachr. 278, No. 1--2, 3--16 (2005; Zbl 1065.46056) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Lytvynov, Eugene Laplace operators in deRham complexes associated with measures on configuration spaces. (English) Zbl 1026.60060 J. Geom. Phys. 47, No. 2-3, 259-302 (2003). Reviewer: J.Picard (Aubière) MSC: 60G55 58A10 58A12 58J65 46M20 58J10 82C22 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Geom. Phys. 47, No. 2--3, 259--302 (2003; Zbl 1026.60060) Full Text: DOI arXiv
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M.; Tsikalenko, T. V. Glauber dynamics for quantum lattice systems. (English) Zbl 1081.82018 Rev. Math. Phys. 13, No. 1, 51-124 (2001). Reviewer: Yuri Kozitsky (Lublin) MSC: 82C31 60H15 82B10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rev. Math. Phys. 13, No. 1, 51--124 (2001; Zbl 1081.82018) Full Text: DOI
Albeverio, Sergio; Makarov, Konstantin A. Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols. (English) Zbl 0969.45010 Trans. Am. Math. Soc. 353, No. 5, 1985-1993 (2001). Reviewer: Vladimir S.Pilidi MSC: 45P05 47A68 47B35 45M05 47G10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{K. A. Makarov}, Trans. Am. Math. Soc. 353, No. 5, 1985--1993 (2001; Zbl 0969.45010) Full Text: DOI
Albeverio, Sergio; Zhao, Xuelei Measure-valued branching processes associated with random walks on \(p\)-adics. (English) Zbl 1044.60036 Ann. Probab. 28, No. 4, 1680-1710 (2000). MSC: 60G57 60J80 11S99 60B15 60G30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{X. Zhao}, Ann. Probab. 28, No. 4, 1680--1710 (2000; Zbl 1044.60036) Full Text: DOI
Albeverio, Sergio; Koshmanenko, Volodymyr On the problem of the right Hamiltonian under singular form-sum perturbations. (English) Zbl 0974.47012 Rev. Math. Phys. 12, No. 1, 1-24 (2000). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 47A55 47B25 47N50 81Q10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Koshmanenko}, Rev. Math. Phys. 12, No. 1, 1--24 (2000; Zbl 0974.47012) Full Text: DOI
Albeverio, Sergio; Koshmanenko, Volodymyr On form-sum approximations of singularly perturbed positive self-adjoint operators. (English) Zbl 0944.47008 J. Funct. Anal. 169, No. 1, 32-51 (1999). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47A55 47B25 46E35 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Koshmanenko}, J. Funct. Anal. 169, No. 1, 32--51 (1999; Zbl 0944.47008) Full Text: DOI
Albeverio, Sergio; Brasche, Johannes; Neidhardt, Hagen On inverse spectral theory for selfadjoint extensions: Mixed types of spectra. (English) Zbl 0997.47005 J. Funct. Anal. 154, No. 1, 130-173 (1998). Reviewer: Michael Perelmuter (Kyïv) MSC: 47A10 47A60 47A20 47B25 47E05 47F05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 154, No. 1, 130--173 (1998; Zbl 0997.47005) Full Text: DOI
Albeverio, S.; Kurasov, P. Rank one perturbations of not semibounded operators. (English) Zbl 0901.47004 Integral Equations Oper. Theory 27, No. 4, 379-400 (1997). MSC: 47A55 47D06 81Q15 47N20 34L10 47A20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{P. Kurasov}, Integral Equations Oper. Theory 27, No. 4, 379--400 (1997; Zbl 0901.47004) Full Text: DOI
Albeverio, S.; Kurasov, P. Rank one perturbations, approximations, and selfadjoint extensions. (English) Zbl 0908.47010 J. Funct. Anal. 148, No. 1, 152-169 (1997). Reviewer: M.Demuth (Clausthal) MSC: 47A55 47B25 47A20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{P. Kurasov}, J. Funct. Anal. 148, No. 1, 152--169 (1997; Zbl 0908.47010) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Perturbation of resonances in quantum mechanics. (English) Zbl 0564.35026 J. Math. Anal. Appl. 101, 491-513 (1984). Reviewer: A.G.Ramm MSC: 35J10 35Q99 81Q15 35B30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, J. Math. Anal. Appl. 101, 491--513 (1984; Zbl 0564.35026) Full Text: DOI