Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory. (English) Zbl 1218.47071 J. Math. Anal. Appl. 375, No. 1, 82-98 (2011). Reviewer: Hartmut Fuehr (Aachen) MSC: 47G30 42C40 46S10 47J35 35S11 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 375, No. 1, 82--98 (2011; Zbl 1218.47071) Full Text: DOI
Albeverio, S.; Polischook, V. Prüfer’s ideal numbers as Gelfand’s maximal ideals. (English) Zbl 1268.11154 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 35-54 (2010). MSC: 11S85 46J10 46S10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{V. Polischook}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 35--54 (2010; Zbl 1268.11154) Full Text: DOI arXiv
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, S.; Belopolskaya, Ya. \(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations. (English. Russian original) Zbl 1288.60070 J. Math. Sci., New York 152, No. 6, 799-816 (2008); translation from Zap. Nauchn. Semin. POMI 351, 5-37 (2007). MSC: 60H10 46S10 60J75 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, J. Math. Sci., New York 152, No. 6, 799--816 (2008; Zbl 1288.60070); translation from Zap. Nauchn. Semin. POMI 351, 5--37 (2007) Full Text: DOI
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems. (English) Zbl 1110.46049 J. Fourier Anal. Appl. 12, No. 4, 393-425 (2006). MSC: 46S10 42C40 47G30 40E05 26A33 46F12 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Fourier Anal. Appl. 12, No. 4, 393--425 (2006; Zbl 1110.46049) Full Text: DOI arXiv
Albeverio, S.; Khrennikov, A. Y.; Shelkovich, V. M. Associated homogeneous \(p\)-adic distributions. (English) Zbl 1100.46048 J. Math. Anal. Appl. 313, No. 1, 64-83 (2006). MSC: 46S10 46F10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 313, No. 1, 64--83 (2006; Zbl 1100.46048) 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, S.; Bayod, J. M.; Perez-Garsia, C.; Cianci, R.; Khrennikov, A. Yu. Non-Archimedean analogues of orthogonal and symmetric operators. (English. Russian original) Zbl 0974.47054 Izv. Math. 63, No. 6, 1063-1087 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 3-28 (1999). Reviewer: S.L.Singh (Rishikesh) MSC: 47S10 46S10 47N50 81Q99 47B99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Izv. Math. 63, No. 6, 1063--1087 (1999; Zbl 0974.47054); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 6, 3--28 (1999) Full Text: DOI
Albeverio, Sergio; Bayod, Jose Manuel; Perez-Garcia, Cristina; Cianci, Roberto; Khrennikov, Andrew Non-Archimedean analogues of orthogonal and symmetric operators and \(p\)-adic quantization. (English) Zbl 0943.46044 Acta Appl. Math. 57, No. 3, 205-237 (1999). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 46S10 26E30 11S99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Acta Appl. Math. 57, No. 3, 205--237 (1999; Zbl 0943.46044) Full Text: DOI
Albeverio, S.; Khrennikov, A.; Tirozzi, B.; De Smedt, S. \(p\)-adic dynamical systems. (English. Russian original) Zbl 0974.37018 Theor. Math. Phys. 114, No. 3, 276-287 (1998); translation from Teor. Mat. Fiz. 114, No. 3, 349-365 (1998). MSC: 37P20 46S10 11S82 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Theor. Math. Phys. 114, No. 3, 276--287 (1998; Zbl 0974.37018); translation from Teor. Mat. Fiz. 114, No. 3, 349--365 (1998) Full Text: DOI
Albeverio, Sergio; Khrennikov, Andrew A regularization of quantum field Hamiltonians with the aid of \(p\)-adic numbers. (English) Zbl 0896.46047 Acta Appl. Math. 50, No. 3, 225-251 (1998). Reviewer: V.Ya.Kreinovich (El Paso) MSC: 46N50 81T10 46S10 47N50 81P05 81P15 81R10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Khrennikov}, Acta Appl. Math. 50, No. 3, 225--251 (1998; Zbl 0896.46047) 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; Cianci, Roberto; Khrennikov, Andrew On the Fourier transform and the spectral properties of the \(p\)-adic momentum and Schrödinger operators. (English) Zbl 0927.46060 J. Phys. A, Math. Gen. 30, No. 16, 5767-5784 (1997). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 46S10 81S05 81P15 11S80 81Q05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Phys. A, Math. Gen. 30, No. 16, 5767--5784 (1997; Zbl 0927.46060) Full Text: DOI
Albeverio, Sergio; Khrennikov, Andrei Representations of the Weyl group in spaces of square integrable functions with respect to \(p\)-adic valued Gaussian distributions. (English) Zbl 0903.46073 J. Phys. A, Math. Gen. 29, No. 17, 5515-5527 (1996). MSC: 46S10 81S05 46N50 47N50 81R05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Khrennikov}, J. Phys. A, Math. Gen. 29, No. 17, 5515--5527 (1996; Zbl 0903.46073) Full Text: DOI
Albeverio, Sergio; Karwowski, Witold Diffusion on \(p\)-adic numbers. (English) Zbl 0826.46069 Itô, K. (ed.) et al., Gaussian random fields. Proceedings of the third Nagoya Lévy seminar, held in Nagoya, Japan, 15-20 August, 1990. Singapore: World Scientific. Ser. Probab. Stat. 1, 86-99 (1991). MSC: 46S10 46N55 60J60 60G50 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{W. Karwowski}, Ser. Probab. Stat. 1, 86--99 (1991; Zbl 0826.46069)