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.; Gubinelli, Massimiliano Elliptic stochastic quantization. (English) Zbl 1446.60041 Ann. Probab. 48, No. 4, 1693-1741 (2020). Reviewer: Udhayakumar Ramalingam (Sathyamangalam) MSC: 60H15 35R60 81Q60 82B44 35D30 35D35 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Ann. Probab. 48, No. 4, 1693--1741 (2020; Zbl 1446.60041) Full Text: DOI arXiv Euclid
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M. Equivalence of the Brownian and energy representations. (English) Zbl 1360.22026 J. Math. Sci., New York 219, No. 5, 612-630 (2016) and Zap. Nauchn. Semin. POMI 441, 17-44 (2015). Reviewer: Jacques Franchi (Strasbourg) MSC: 22E65 58J65 22E30 60H30 22E45 60B15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Sci., New York 219, No. 5, 612--630 (2016; Zbl 1360.22026) Full Text: DOI arXiv
Albeverio, Sergio; Sengupta, Ambar N. Complex phase space and Weyl’s commutation relations. (English) Zbl 1343.22009 Expo. Math. 34, No. 3, 249-286 (2016). MSC: 22E70 81S10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. N. Sengupta}, Expo. Math. 34, No. 3, 249--286 (2016; Zbl 1343.22009) Full Text: DOI
Albeverio, S.; Mazzucchi, S. A unified approach to infinite-dimensional integration. (English) Zbl 1339.28018 Rev. Math. Phys. 28, No. 2, Article ID 1650005, 43 p. (2016). MSC: 28C20 28C05 46G12 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Rev. Math. Phys. 28, No. 2, Article ID 1650005, 43 p. (2016; Zbl 1339.28018) Full Text: DOI
Albeverio, S.; Kudaybergenov, K. K.; Djumamuratov, R. T. Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators. (English) Zbl 1262.46044 Lobachevskii J. Math. 33, No. 3, 200-207 (2012). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 46L51 46L40 46L57 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Lobachevskii J. Math. 33, No. 3, 200--207 (2012; Zbl 1262.46044) Full Text: DOI arXiv
Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z. Arens spaces associated with von Neumann algebras and normal states. (English) Zbl 1200.46054 Positivity 14, No. 1, 105-121 (2010). MSC: 46L51 46L52 46L07 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Positivity 14, No. 1, 105--121 (2010; Zbl 1200.46054) Full Text: DOI
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. (English) Zbl 1175.46054 J. Funct. Anal. 256, No. 9, 2917-2943 (2009). Reviewer: Rolf Gohm (Aberystwyth) MSC: 46L51 46L57 47B47 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 256, No. 9, 2917--2943 (2009; Zbl 1175.46054) Full Text: DOI arXiv
Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. Non-commutative Arens algebras and their derivations. (English) Zbl 1138.46040 J. Funct. Anal. 253, No. 1, 287-302 (2007). Reviewer: Madjid Mirzavaziri (Mashhad) MSC: 46L57 47L60 46L52 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 253, No. 1, 287--302 (2007; Zbl 1138.46040) Full Text: DOI arXiv
Albeverio, Sergio; Liang, Song A note on the renormalized square of free quantum fields in space-time dimension \(d\geqslant 4\). (English) Zbl 1106.81057 Bull. Sci. Math. 131, No. 1, 1-11 (2007). MSC: 81T08 46F25 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Liang}, Bull. Sci. Math. 131, No. 1, 1--11 (2007; Zbl 1106.81057) Full Text: DOI
Albeverio, S.; Ayupov, Sh. A.; Dadakhodjayev, R. A. On partially ordered real involutory algebras. (English) Zbl 1116.46038 Acta Appl. Math. 94, No. 3, 195-214 (2006). MSC: 46K05 46L51 46K70 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Acta Appl. Math. 94, No. 3, 195--214 (2006; Zbl 1116.46038) Full Text: DOI Link
Albeverio, Sergio; Goswami, Debashish A remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras. (English) Zbl 1060.46047 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 4, 571-579 (2002). MSC: 46L55 81S25 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{D. Goswami}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 4, 571--579 (2002; Zbl 1060.46047) Full Text: DOI arXiv
Albeverio, Sergio; Yoshida, Minoru W. \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson’s Euclidean free field. (English) Zbl 1015.60052 J. Funct. Anal. 196, No. 2, 265-322 (2002). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 60H40 81T99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{M. W. Yoshida}, J. Funct. Anal. 196, No. 2, 265--322 (2002; Zbl 1015.60052) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei Algebras of pseudodifferential operators in \(L_2\) given by smooth measures on Hilbert spaces. (English) Zbl 0910.47043 Math. Nachr. 192, 5-22 (1998). Reviewer: L.Hącia (Poznań) MSC: 47G30 46G10 81Q20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, Math. Nachr. 192, 5--22 (1998; Zbl 0910.47043) Full Text: DOI
Albeverio, S.; Cianci, R.; Khrennikov, A. Yu. Representation of a quantum field Hamiltonian in \(p\)-adic Hilbert space. (English. Russian original) Zbl 0968.46519 Theor. Math. Phys. 112, No. 3, 1081-1096 (1997); translation from Teor. Mat. Fiz. 112, No. 3, 355-374 (1997). MSC: 46N50 46S10 81T05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Theor. Math. Phys. 112, No. 3, 1081--1096 (1997; Zbl 0968.46519); translation from Teor. Mat. Fiz. 112, No. 3, 355--374 (1997) Full Text: DOI
Albeverio, Sergio; Daletskij, Alexei Asymptotic quantization for solution manifolds of some infinite dimensional Hamiltonian systems. (English) Zbl 0852.58044 J. Geom. Phys. 19, No. 1, 31-46 (1996). Reviewer: M.Puta (Timişoara) MSC: 53D50 47G30 37J99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskij}, J. Geom. Phys. 19, No. 1, 31--46 (1996; Zbl 0852.58044) Full Text: DOI
Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions. (English) Zbl 0870.60038 Rev. Math. Phys. 8, No. 6, 763-817 (1996). MSC: 60G20 47G30 81S25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rev. Math. Phys. 8, No. 6, 763--817 (1996; Zbl 0870.60038) Full Text: DOI arXiv
Albeverio, Sergio; Blanchard, Phillip; Combe, Ph.; Høegh-Krohn, Raphael; Sirugue, M. Local relativistic invariant flows for quantum fields. (English) Zbl 0538.46053 Commun. Math. Phys. 90, 329-351 (1983). Reviewer: P.Hillion MSC: 46L60 81T05 22E70 46N99 81R10 81T20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 90, 329--351 (1983; Zbl 0538.46053) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Dirichlet forms and diffusion processes on rigged Hilbert spaces. (English) Zbl 0342.60057 Z. Wahrscheinlichkeitstheor. Verw. Geb. 40, 1-57 (1977). MSC: 60J65 60J60 60J70 60K35 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 40, 1--57 (1977; Zbl 0342.60057) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Homogeneous random fields and statistical mechanics. (English) Zbl 0381.60049 J. Funct. Anal. 19, 242-272 (1975). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, J. Funct. Anal. 19, 242--272 (1975; Zbl 0381.60049) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time. (English) Zbl 0279.60095 J. Funct. Anal. 16, 39-82 (1974). MSC: 60K35 60G20 28C20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, J. Funct. Anal. 16, 39--82 (1974; Zbl 0279.60095) Full Text: DOI