Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. Theory of \(p\)-adic distributions. Linear and nonlinear models. (English) Zbl 1198.46001 London Mathematical Society Lecture Note Series 370. Cambridge: Cambridge University Press (ISBN 978-0-521-14856-6/pbk). xvi, 351 p. (2010). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46-02 46S10 46F05 46F30 42C40 35S05 47G30 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Theory of \(p\)-adic distributions. Linear and nonlinear models. Cambridge: Cambridge University Press (2010; Zbl 1198.46001)
Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom Nonstandard methods in stochastic analysis and mathematical physics. Reprint of the 1986 original ed. (English) Zbl 1191.60002 Mineola, NY: Dover Publications (ISBN 978-0-486-46899-0). ix, 514 p. (2009). MSC: 60-02 60G05 60H99 03H10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Nonstandard methods in stochastic analysis and mathematical physics. Reprint of the 1986 original ed. Mineola, NY: Dover Publications (2009; Zbl 1191.60002)
Albeverio, Sergio; Herzberg, Frederik S. Optimisation of measures on a hyperfinite adapted probability space. (English) Zbl 1134.28011 Acta Appl. Math. 100, No. 1, 1-14 (2008). Reviewer: Hermann Render (Logrono) MSC: 28E05 49J55 03H05 28A33 91B24 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{F. S. Herzberg}, Acta Appl. Math. 100, No. 1, 1--14 (2008; Zbl 1134.28011) Full Text: DOI
Albeverio, Sergio; Herzberg, Frederik S. Lifting Lévy processes to hyperfinite random walks. (English) Zbl 1125.28016 Bull. Sci. Math. 130, No. 8, 697-706 (2006). Reviewer: Antoine Delcroix (Pointe-a-Pitre) MSC: 28E05 03H05 60H05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{F. S. Herzberg}, Bull. Sci. Math. 130, No. 8, 697--706 (2006; Zbl 1125.28016) Full Text: DOI
Albeverio, Sergio; Herzberg, Frederik S. A combinatorial infinitesimal representation of Lévy processes and an application to incomplete markets. (English) Zbl 1119.28012 Stochastics 78, No. 5, 301-325 (2006). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 28E05 47S20 03H10 47D07 60J35 91B28 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{F. S. Herzberg}, Stochastics 78, No. 5, 301--325 (2006; Zbl 1119.28012) Full Text: DOI
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. Nonlinear singular problems of \(p\)-adic analysis: associative algebras of \(p\)-adic distributions. (English. Russian original) Zbl 1096.46041 Izv. Math. 69, No. 2, 221-263 (2005); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 69, No. 2, 3-44 (2005). MSC: 46S10 46F30 11S80 46N10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Izv. Math. 69, No. 2, 221--263 (2005; Zbl 1096.46041); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 69, No. 2, 3--44 (2005) Full Text: DOI
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, S.; Khrennikov, A. Yu.; Shelkovich, V. M. Associative algebras of \(p\)-adic distributions. (English. Russian original) Zbl 1098.46032 Proc. Steklov Inst. Math. 245, 22-33 (2004); translation from Tr. Mat. Inst. Steklova 245, 29-40 (2004). MSC: 46F30 11S99 46F05 46S10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Selected topics of \(p\)-adic mathematical physics and analysis. Collected papers. Dedicated to the 80th birthday of Academician Vasilii Sergeevich Vladimirov. Papers of the 1st conference on \(p\)-adic mathematical physics, Moscow, Russia, October 1--4, 2003. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 22--33 (2004; Zbl 1098.46032); translation from Tr. Mat. Inst. Steklova 245, 29--40 (2004) Full Text: MNR
Albeverio, Sergio; Wu, Jiang-Lun Nonstandard construction of stable type Euclidean random field measures. (English) Zbl 1009.28012 Schuster, Peter (ed.) et al., Reuniting the antipodes–constructive and nonstandard views of the continuum. Symposium proceedings, San Servolo, Venice, Italy, May 16-22, 1999. Dordrecht: Kluwer Academic Publishers. Synth. Libr. 306, 1-18 (2001). MSC: 28C20 60G60 81T25 60F10 03H05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{J.-L. Wu}, Synth. Libr. 306, 1--18 (2001; Zbl 1009.28012)
Albeverio, Sergio; Wu, Jiang-Lun A mathematical flat integral realization and a large deviation result for the free Euclidean field. (English) Zbl 0864.28008 Acta Appl. Math. 45, No. 3, 317-348 (1996). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 60F10 81T10 26E35 03H05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{J.-L. Wu}, Acta Appl. Math. 45, No. 3, 317--348 (1996; Zbl 0864.28008) Full Text: DOI
Albeverio, S.; Guido, D.; Ponosov, A.; Scarlatti, S. Dixmier traces and non standard analysis. (English) Zbl 0841.03038 Albeverio, S. (ed.) et al., Stochastic processes, physics and geometry II. Proceedings of the 3rd international conference held in Locarno, Switzerland, 24-29 June 1991. Singapore: World Scientific. 39-51 (1995). Reviewer: A.Kachurovskij (Novosibirsk) MSC: 03H05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Stochastic processes, physics and geometry II. Proceedings of the 3rd international conference held in Locarno, Switzerland, 24-29 June 1991. Singapore: World Scientific. 39--51 (1995; Zbl 0841.03038)
Albeverio, S.; Guido, D.; Ponosov, A.; Scarlatti, S. Singular traces and nonstandard analysis. (English) Zbl 0823.47021 Albeverio, Sergio A. (ed.) et al., Advances in analysis, probability and mathematical physics: contributions of nonstandard analysis. Proceedings of an international conference held July 1992 at the Heinrich Fabri Institut of the University of Tübingen, Germany. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 314, 3-19 (1995). MSC: 47B10 47S20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Math. Appl., Dordr. 314, 3--19 (1995; Zbl 0823.47021)
Albeverio, Sergio A. (ed.); Luxemburg, Wilhelm A. J. (ed.); Wolff, Manfred P. H. (ed.) Advances in analysis, probability and mathematical physics: contributions of nonstandard analysis. Proceedings of an international conference held July 1992 at the Heinrich Fabri Institut of the University of Tübingen, Germany. (English) Zbl 0805.00013 Mathematics and its Applications (Dordrecht). 314. Dordrecht: Kluwer Academic Publishers. x, 251 p. (1995). MSC: 00B25 26-06 46-06 60-06 03H05 46S20 47S20 54J05 PDFBibTeX XMLCite \textit{S. A. Albeverio} (ed.) et al., Advances in analysis, probability and mathematical physics: contributions of nonstandard analysis. Proceedings of an international conference held July 1992 at the Heinrich Fabri Institut of the University of Tübingen, Germany. Dordrecht: Kluwer Academic Publishers (1995; Zbl 0805.00013)
Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael; Karwowski, W.; Lindstrøm, Tom Schrödinger operators with potentials supported by null sets. (English) Zbl 0795.35088 Albeverio, Sergio (ed.) et al., Ideas and methods in quantum and statistical physics. In memory of Raphael Hœgh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 63-95 (1992). Reviewer: M.Perelmuter (Kiev) MSC: 35Q40 81Q10 31C25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Ideas and methods in quantum and statistical physics. In memory of Raphael Høegh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 63--95 (1992; Zbl 0795.35088)
Albeverio, Sergio On the scientific work of Raphael Høegh-Krohn. (English) Zbl 0761.01011 Ideas and methods in mathematical analysis, stochastics and applications. In memory of R. Høegh-Krohn, Vol. 1, 15-92 (1992). Reviewer: D.Laugwitz (Darmstadt) MSC: 01A70 81-00 PDFBibTeX XMLCite \textit{S. Albeverio}, in: Ideas and methods in mathematical analysis, stochastics, and applications. In memory of Raphael Høegh-Krohn (1938-1988). Volume 1. Cambridge: Cambridge University Press. 15--92 (1992; Zbl 0761.01011)
Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael J.; Lindstrøm, Tom L. Shubin, M. A. (ed.) [Zvonkin, A. K.] Nonstandard methods in stochastic analysis and mathematical physics. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike). Transl. from the English by A. K. Zvonkin. Transl. ed. by M. A. Shubin. With a preface by Zvonkin and Shubin. (Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike.) (Russian) Zbl 0734.60001 Moskva: Mir. 616 p. R. 3.40 (1990). MSC: 60-02 60G05 60H99 03H10 60G44 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Nestandartnye metody v stokhasticheskom analize i matematicheskoj fizike (Russian). Transl. from the English by A. K. Zvonkin. Transl. ed. by M. A. Shubin. With a preface by Zvonkin and Shubin. Moskva: Mir (1990; Zbl 0734.60001)
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge Solvable models in quantum mechanics. (English) Zbl 0679.46057 Texts and Monographs in Physics. New York etc.: Springer-Verlag. xiv, 452 p. DM 158.00 (1988). Reviewer: H.Araki MSC: 46N50 81-02 81Q05 47A70 35P25 81U05 81Q10 81V70 03H10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Solvable models in quantum mechanics. New York etc.: Springer-Verlag (1988; Zbl 0679.46057)
Albeverio, Sergio Applications of nonstandard analysis in mathematical physics. (English) Zbl 0658.03047 Nonstandard analysis and its applications, Pap. Conf., Hull/UK 1986, Lond. Math. Soc. Stud. Texts 10, 182-220 (1988). Reviewer: V.Ya.Kreĭnovich MSC: 03H10 81Q99 PDFBibTeX XML
Albeverio, Sergio An introduction to non standard analysis and applications to quantum theory. (English) Zbl 0722.60002 Information complexity and control in quantum physics, Proc. 4th Int. Semin. Math. Theory Dyn. Syst. Microphys., Udine/Italy 1985, CISM Courses Lect. 294, 183-208 (1987). MSC: 60A99 81S25 26E35 PDFBibTeX XML
Albeverio, Sergio Non-standard analysis: Applications to probability theory and mathematical physics. (English) Zbl 0681.26010 Mathematics and physics, Lect. recent results, Bielefeld/FRG 1983/84, Vol. 2, 1-49 (1986). Reviewer: D.Laugwitz MSC: 26E35 28E05 PDFBibTeX XML
Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom Nonstandard methods in stochastic analysis and mathematical physics. (English) Zbl 0605.60005 Pure and Applied Mathematics, Vol. 122. Orlando etc.: Academic Press, Inc. (Harcourt Brace Jovanovich, Publishers). xi, 514 p. Cloth: $ 59.50; Paper: $ 34.50 (1986). Reviewer: Robert A. Herrmann (Annapolis) MSC: 60-02 60G05 60H99 03H10 60G44 PDFBibTeX XML
Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael Singular perturbations and nonstandard analysis. (English) Zbl 0424.35014 Trans. Am. Math. Soc. 252, 275-295 (1979). MSC: 35B25 35B05 35J10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Trans. Am. Math. Soc. 252, 275--295 (1979; Zbl 0424.35014) Full Text: DOI