-
1
-
-
0034289349
-
Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact abelian groups
-
Albeverio, S., Gordon, E. I. and Khrennikov, A. Yu. (2000). Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact abelian groups, Acta Appl. Math. 64(1), 33-73.
-
(2000)
Acta Appl. Math.
, vol.64
, Issue.1
, pp. 33-73
-
-
Albeverio, S.1
Gordon, E.I.2
Khrennikov, A.Yu.3
-
2
-
-
5344276665
-
A random walk on p-adics - The generator and its spectrum
-
Albeverio, S. and Karwowski, W. (1994). A random walk on p-adics - the generator and its spectrum, Stochastic Process Appl. 53, 1-22.
-
(1994)
Stochastic Process Appl.
, vol.53
, pp. 1-22
-
-
Albeverio, S.1
Karwowski, W.2
-
3
-
-
0041138864
-
Representation of the Weyl group in spaces of square integrable functions with respect to p-adic valued Gaussian distributions
-
Albeverio, S. and Khrennikov, A. Yu. (1996). Representation of the Weyl group in spaces of square integrable functions with respect to p-adic valued Gaussian distributions, J. Phys. A 29, 5515-5527.
-
(1996)
J. Phys. A
, vol.29
, pp. 5515-5527
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
-
4
-
-
28044458740
-
Associated homogeneous p-adic distributions
-
Albeverio, S., Khrennikov, A. Yu., and Shelkovich, V. M. (2006). Associated homogeneous p-adic distributions, J. Math. Ann. Appl. 313, 64-83.
-
(2006)
J. Math. Ann. Appl.
, vol.313
, pp. 64-83
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Shelkovich, V.M.3
-
5
-
-
5644227585
-
Associated homogeneous p-adic generalized functions
-
Albeverio, S., Khrennikov, A. Yu., and Shelkovich, V. M. (2003). Associated homogeneous p-adic generalized functions, Dokl. Ross. Akad. Nauk 393(3), 300-303;
-
(2003)
Dokl. Ross. Akad. Nauk
, vol.393
, Issue.3
, pp. 300-303
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Shelkovich, V.M.3
-
6
-
-
33748799513
-
-
english transl
-
english transl, in Russian Doklady Mathematics 68(3), 354-357.
-
Russian Doklady Mathematics
, vol.68
, Issue.3
, pp. 354-357
-
-
-
7
-
-
12944259006
-
P-adic Colombeau-Egorov type theory of generalized functions
-
Albeverio, S., Khrennikov, A. Yu., and Shelkovich, V.M. (2005). p-adic Colombeau-Egorov type theory of generalized functions, Math. Nachr. 278(1-2, 3-16).
-
(2005)
Math. Nachr.
, vol.278
, Issue.1-2
, pp. 3-16
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Shelkovich, V.M.3
-
8
-
-
33748795639
-
Associative algebras of p-adic distributions
-
Moscow
-
Albeverio, S., Khrennikov, A. Yu., and Shelkovich, V. M. (2004). Associative algebras of p-adic distributions, Proc. Steklov Inst. Math. 245, Moscow, 22-33.
-
(2004)
Proc. Steklov Inst. Math.
, vol.245
, pp. 22-33
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Shelkovich, V.M.3
-
9
-
-
31144447274
-
Nonlinear problems in p-adic analysis: Associative algebras of p-adic distributions
-
Albeverio, S., Khrennikov, A. Yu., and Shelkovich, V. M. (2005). Nonlinear problems in p-adic analysis: Associative algebras of p-adic distributions, Izv. Ross. Akad. Nauk Sci: Mat. 69(2), 221-263.
-
(2005)
Izv. Ross. Akad. Nauk Sci: Mat.
, vol.69
, Issue.2
, pp. 221-263
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Shelkovich, V.M.3
-
10
-
-
0033263722
-
P-adic neutral networks
-
Albeverio, S., Khrennikov, A. Yu., and Tirozzi, B. (1999). p-Adic neutral networks, Math. Models Methods Appl, Sci. 9(9), 1417-1437.
-
(1999)
Math. Models Methods Appl, Sci.
, vol.9
, Issue.9
, pp. 1417-1437
-
-
Albeverio, S.1
Khrennikov, A.Yu.2
Tirozzi, B.3
-
11
-
-
0007899108
-
An introduction to the mathematical theory of neutral networks
-
Lecture Notes on Physics, Garrido, P. and Marro, I., Eds., Springer-Verlag, Berlin-New York-Heidelberg
-
Albeverio, S. and Tirozzi, B. (1997). An introduction to the mathematical theory of neutral networks, in Proceedings of Fourth Granada, Lectures in Computational Physics, 493, of Lecture Notes on Physics, Garrido, P. and Marro, I., Eds., Springer-Verlag, Berlin-New York-Heidelberg, 197-222.
-
(1997)
Proceedings of Fourth Granada, Lectures in Computational Physics
, vol.493
, pp. 197-222
-
-
Albeverio, S.1
Tirozzi, B.2
-
12
-
-
0033449870
-
Dirichlet forms on totally disconnected spaces and bipartite Markov chains
-
Aldous, D. and Evans, S.N. (1999). Dirichlet forms on totally disconnected spaces and bipartite Markov chains, J. Theoret. Probab. 12(3), 839-857.
-
(1999)
J. Theoret. Probab.
, vol.12
, Issue.3
, pp. 839-857
-
-
Aldous, D.1
Evans, S.N.2
-
13
-
-
0041882032
-
P-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
-
Avetisov, V.A., Bikulov, A.H., Kozyrev, S.V., and Osipov, V.A. (2002). p-Adic models of ultrametric diffusion constrained by hierarchical energy landscapes, J. Phys. A: Math. Gen. 12, 177-189.
-
(2002)
J. Phys. A: Math. Gen.
, vol.12
, pp. 177-189
-
-
Avetisov, V.A.1
Bikulov, A.H.2
Kozyrev, S.V.3
Osipov, V.A.4
-
14
-
-
84867968336
-
A wavelet theory for local fields and related groups
-
Benedetto, J. J. and Benedetto, R. L. (2004). A wavelet theory for local fields and related groups, J. Geom. Anal. 14(3), 423-456.
-
(2004)
J. Geom. Anal.
, vol.14
, Issue.3
, pp. 423-456
-
-
Benedetto, J.J.1
Benedetto, R.L.2
-
15
-
-
33748771297
-
Examples of wavelets for local fields
-
(College Park, MD, 2003), Amer. Math. Soc., Providence, RI
-
Benedetto, R. L. (2004). Examples of wavelets for local fields, Wavelets, Frames, and Operator Theory, (College Park, MD, 2003), Amer. Math. Soc., Providence, RI, 27-17.
-
(2004)
Wavelets, Frames, and Operator Theory
, pp. 27-117
-
-
Benedetto, R.L.1
-
17
-
-
0010038364
-
Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes p-adiques
-
Bruhat, F. (1961). Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes p-adiques, Bull. Soc. Math. France 89, 43-75.
-
(1961)
Bull. Soc. Math. France
, vol.89
, pp. 43-75
-
-
Bruhat, F.1
-
18
-
-
3042977530
-
Quasi-asymptotics of generalized functions and Tauberian theorems in the complex domain
-
Drozzinov, Yu. N. and Zavialov, B. I. (1977). Quasi-asymptotics of generalized functions and Tauberian theorems in the complex domain, Math. Sb. 102(3), 372-390;
-
(1977)
Math. Sb.
, vol.102
, Issue.3
, pp. 372-390
-
-
Drozzinov, Yu.N.1
Zavialov, B.I.2
-
19
-
-
33748780462
-
-
english transl.
-
english transl. in Math. USSR Sb. 31.
-
Math. USSR Sb.
, vol.31
-
-
-
20
-
-
1942542248
-
Cauchy problem for fractional diffusion equations
-
Eidelman, S. D. and Kochubei, A. N. (2004). Cauchy problem for fractional diffusion equations, J. Differential Equations 199, 211-255.
-
(2004)
J. Differential Equations
, vol.199
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
21
-
-
33748803709
-
-
(Oberwolfach, 1994), World Sci. Publishing, River Edge, NJ
-
Evans, S. N. (1995). p-Adic White Noise, Chaos Expansions, and Stochastic Integration, Probability Measures on Groups and Related Structures, XI, (Oberwolfach, 1994), World Sci. Publishing, River Edge, NJ, 102-115.
-
(1995)
P-adic White Noise, Chaos Expansions, and Stochastic Integration, Probability Measures on Groups and Related Structures, XI
, pp. 102-115
-
-
Evans, S.N.1
-
22
-
-
0001042602
-
Adelic string amplitudes
-
Freund, P. G. O. and Witten, E. (1987). Adelic string amplitudes, Phys. Lett. B 199, 191-195.
-
(1987)
Phys. Lett. B
, vol.199
, pp. 191-195
-
-
Freund, P.G.O.1
Witten, E.2
-
23
-
-
0004007149
-
-
New York, Academic Press
-
Gel'fand, I. M. and Shilov, G. E. (1964). Generalized Functions, Properties and Operations, 1, New York, Academic Press.
-
(1964)
Generalized Functions, Properties and Operations
, vol.1
-
-
Gel'fand, I.M.1
Shilov, G.E.2
-
24
-
-
12944280542
-
-
Nauka, Moscow
-
Gel'fand, I. M., Graev, M. I., and Piatetskii-Shapiro, I. I. (1966). Generalized Functions, Representation Theory and Automorphic Functions, Nauka, 6, Moscow.
-
(1966)
Generalized Functions, Representation Theory and Automorphic Functions
, vol.6
-
-
Gel'fand, I.M.1
Graev, M.I.2
Piatetskii-Shapiro, I.I.3
-
25
-
-
0842316813
-
Fundamental solutions over the field of p-adic numbers
-
Khrennikov, Yu. A. (1993). Fundamental solutions over the field of p-adic numbers, St. Petersburg Math. J. 4(3), 613-628.
-
(1993)
St. Petersburg Math. J.
, vol.4
, Issue.3
, pp. 613-628
-
-
Khrennikov, Yu.A.1
-
29
-
-
1842422082
-
P-adic discrete dynamical systems and their applications in physics and cognitive science
-
Khrennikov, Yu. A. (2004). p-Adic discrete dynamical systems and their applications in physics and cognitive science, Russian J. Math. Phys. 11(1), 45-70.
-
(2004)
Russian J. Math. Phys.
, vol.11
, Issue.1
, pp. 45-70
-
-
Khrennikov, Yu.A.1
-
31
-
-
27344449852
-
Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
-
Khrennikov, Yu. A. and Kozyrev, S. V. (2005). Pseudodifferential operators on ultrametric spaces and ultrametric wavelets, Izv. Ross. Akad. Nauk Ser. Mat. 69(5), 133-148.
-
(2005)
Izv. Ross. Akad. Nauk Ser. Mat.
, vol.69
, Issue.5
, pp. 133-148
-
-
Khrennikov, Yu.A.1
Kozyrev, S.V.2
-
33
-
-
31144451038
-
Distributional asymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems
-
Khrennikov, Yu. A. and Shelkovich, V. M. (2006). Distributional asymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems, Asymptot. Anal, 46(2), 163-187.
-
(2006)
Asymptot. Anal.
, vol.46
, Issue.2
, pp. 163-187
-
-
Khrennikov, Yu.A.1
Shelkovich, V.M.2
-
34
-
-
0347792236
-
Additive and multiplicative fractional differentiations over the field of p-adic numbers
-
p-Adic Functional Analysis, Schikhov, W. H. et al., Eds., Marcel-Dekker, New York
-
Kochubei, A. N. (1997). Additive and multiplicative fractional differentiations over the field of p-adic numbers, in p-Adic Functional Analysis, Schikhov, W. H. et al., Eds., Lecture Notes in Pure and Appl. Math. 192, Marcel-Dekker, New York, 275-280.
-
(1997)
Lecture Notes in Pure and Appl. Math.
, vol.192
, pp. 275-280
-
-
Kochubei, A.N.1
-
36
-
-
31144432506
-
-
Grundlehren der Mathematischen Wissenschaften, [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin
-
Korevaar, J. (2004). Tauberian Theory. A Century of Developments, Grundlehren der Mathematischen Wissenschaften, [Fundamental Principles of Mathematical Sciences], 329, Springer-Verlag, Berlin.
-
(2004)
Tauberian Theory. A Century of Developments
, vol.329
-
-
Korevaar, J.1
-
37
-
-
0347162107
-
Wavelet analysis as a p-adic spectral analysis
-
Kozyrev, S. V. (2002). Wavelet analysis as a p-adic spectral analysis, Izv. Ross. Akad. Nauk Ser. Mat. 66(2), 149-158.
-
(2002)
Izv. Ross. Akad. Nauk Ser. Mat.
, vol.66
, Issue.2
, pp. 149-158
-
-
Kozyrev, S.V.1
-
38
-
-
33745016640
-
P-adic pseudodifferential operators: Methods and applications
-
Moscow
-
Kozyrev, S. V. (2004). p-Adic pseudodifferential operators: Methods and applications, Proc. Steklov Inst. Math. 245, Moscow, 154-165.
-
(2004)
Proc. Steklov Inst. Math.
, vol.245
, pp. 154-165
-
-
Kozyrev, S.V.1
-
39
-
-
3843128604
-
P-adic pseudodifferential operators and p-adic wavelets
-
Kozyrev, S. V. (2004). p-Adic pseudodifferential operators and p-adic wavelets, Theoret. and Math. Phys. 138(3), 1-42.
-
(2004)
Theoret. and Math. Phys.
, vol.138
, Issue.3
, pp. 1-42
-
-
Kozyrev, S.V.1
-
40
-
-
0000276168
-
n)
-
Imbedding theorems, (Russian)
-
n), Imbedding theorems, (Russian), Mat. Sb. (N.S.) 60(102), 325-353.
-
(1963)
Mat. Sb. (N.S.)
, vol.60
, Issue.102
, pp. 325-353
-
-
Lizorkin, P.I.1
-
41
-
-
0002246540
-
Generalized Liouville differentiation and the multiplier method in the theory of imbeddings of classes of differentiable functions
-
Lizorkin, P. I. (1969). Generalized Liouville differentiation and the multiplier method in the theory of imbeddings of classes of differentiable functions, (Russian), Tr. Mat. Inst. Steklov. 105, 89-167.
-
(1969)
Tr. Mat. Inst. Steklov.
, vol.105
, pp. 89-167
-
-
Lizorkin, P.I.1
-
42
-
-
0011290749
-
Operators connected with fractional differentiation, and classes of differentiable functions
-
Studies in the theory of differentiable functions of several variables and its applications, IV
-
Lizorkin, P. I. (1972). Operators connected with fractional differentiation, and classes of differentiable functions, (Russian), Studies in the theory of differentiable functions of several variables and its applications, IV, Tr. Mat. Inst. Steklov. 117, 212-243.
-
(1972)
Tr. Mat. Inst. Steklov.
, vol.117
, pp. 212-243
-
-
Lizorkin, P.I.1
-
43
-
-
0348219097
-
P-adic functional integral
-
Parisi, G. (1988). p-Adic functional integral, Modern Phys. Lett. A 4, 369-374.
-
(1988)
Modern Phys. Lett. A
, vol.4
, pp. 369-374
-
-
Parisi, G.1
-
44
-
-
33748801074
-
Distributions and mnemofunctions on adeles
-
The Fourier transform, Moscow
-
Radyno, E. M. and Radyno, Ya. V. (2004). Distributions and mnemofunctions on adeles. The Fourier transform, Proc. Steklov Inst. Math. 245(2), Moscow, 215-227.
-
(2004)
Proc. Steklov Inst. Math.
, vol.245
, Issue.2
, pp. 215-227
-
-
Radyno, E.M.1
Radyno, Ya.V.2
-
45
-
-
0004083474
-
-
Addison-Wesley Longman Limited, Edinburg Gate, Harlow Essex
-
Rubin, B. G. (1996). Fractional Integrals and Potentials, Addison-Wesley Longman Limited, Edinburg Gate, Harlow Essex.
-
(1996)
Fractional Integrals and Potentials
-
-
Rubin, B.G.1
-
46
-
-
0000148735
-
Test functions that vanish on a given set, and division by a function
-
Samko, S. G. (1977). Test functions that vanish on a given set, and division by a function, (Russian), Mat. Zametki 21(5), 677-689.
-
(1977)
Mat. Zametki
, vol.21
, Issue.5
, pp. 677-689
-
-
Samko, S.G.1
-
47
-
-
0000390823
-
v of Lizorkin type
-
V of Lizorkin type, (Russian), Mat. Zametki 31(6), 855-865.
-
(1982)
Mat. Zametki
, vol.31
, Issue.6
, pp. 855-865
-
-
Samko, S.G.1
-
49
-
-
0003598080
-
-
Minsk, Nauka i Tekhnika, 1987, (in Russian)
-
Samko, S. G., Kilubas, A. A., and Marichev, O. I. (1993). Fractional Integrals and Derivatives and Some of their Applications, Minsk, Nauka i Tekhnika, 1987, (in Russian);
-
(1993)
Fractional Integrals and Derivatives and Some of Their Applications
-
-
Samko, S.G.1
Kilubas, A.A.2
Marichev, O.I.3
-
51
-
-
0040870492
-
Renormalization in p-adic quantum mechanics
-
Smirnov, V. A. (1991). Renormalization in p-adic quantum mechanics, Modern Phys. Lett. 6(15), 1421-1427.
-
(1991)
Modern Phys. Lett.
, vol.6
, Issue.15
, pp. 1421-1427
-
-
Smirnov, V.A.1
-
52
-
-
11144334361
-
Harmonic analysis on n-dimensional vector spaces over local fields, I. Basic results on fractional integration
-
Taibleson, M. H. (1968). Harmonic analysis on n-dimensional vector spaces over local fields, I. Basic results on fractional integration, Math. Ann. 176, 191-207.
-
(1968)
Math. Ann.
, vol.176
, pp. 191-207
-
-
Taibleson, M.H.1
-
54
-
-
84956266500
-
Generalized functions over p-adic number field
-
Vladimirov, V. S. (1988). Generalized functions over p-adic number field, Russian Math. Surveys 43(5), 19-64;
-
(1988)
Russian Math. Surveys
, vol.43
, Issue.5
, pp. 19-64
-
-
Vladimirov, V.S.1
-
55
-
-
12944294726
-
-
translated from
-
translated from Uspekhi Mat. Nauk. 43(5), 17-53.
-
Uspekhi Mat. Nauk.
, vol.43
, Issue.5
, pp. 17-53
-
-
-
56
-
-
0003605738
-
-
Kluwer Academic Publishers, Dordrecht-Boston-London
-
Vladimirov, V.S., Drozzinov, Yu. N., and Zavyalov, B.I. (1988). Tauberian Theorems for Generalized Functions, Kluwer Academic Publishers, Dordrecht-Boston-London.
-
(1988)
Tauberian Theorems for Generalized Functions
-
-
Vladimirov, V.S.1
Drozzinov, Yu.N.2
Zavyalov, B.I.3
-
57
-
-
0003957229
-
-
World Scientific, Singapore
-
Vladimirov, V. S., Volovich, I. V., and Zelenov, E. I. (1994). p-Adic Analysis and Mathematical Physics, World Scientific, Singapore.
-
(1994)
P-adic Analysis and Mathematical Physics
-
-
Vladimirov, V.S.1
Volovich, I.V.2
Zelenov, E.I.3
-
59
-
-
1542637685
-
Adelic formulas for string amplitudes in fields of algebraic numbers
-
Vladimirov, V. S. and Zapuzhak, T. M. (1996). Adelic formulas for string amplitudes in fields of algebraic numbers, Lett. Math. Phys. 37, 232-242.
-
(1996)
Lett. Math. Phys.
, vol.37
, pp. 232-242
-
-
Vladimirov, V.S.1
Zapuzhak, T.M.2
-
60
-
-
0002494108
-
P-adic space-time and the string theory
-
Volovich, I. V. (1987). p-Adic space-time and the string theory, Theoret. and Math. Phys. 71(3), 337-340.
-
(1987)
Theoret. and Math. Phys.
, vol.71
, Issue.3
, pp. 337-340
-
-
Volovich, I.V.1
-
62
-
-
4544221011
-
Pseudo-differential equations connected with p-adic forms and local zeta functions
-
Zuniga-Galindo, W. A. (2004). Pseudo-differential equations connected with p-adic forms and local zeta functions, Bull. Austral. Math. Soc. 70(1), 73-86.
-
(2004)
Bull. Austral. Math. Soc.
, vol.70
, Issue.1
, pp. 73-86
-
-
Zuniga-Galindo, W.A.1
-
63
-
-
4544352049
-
Fundamental solutions of pseudo-differential operators over p-adic fields
-
Zuniga-Galindo, W. A. (2003). Fundamental solutions of pseudo-differential operators over p-adic fields, Rend. Sem. Mat. Univ. Padova 109, 241-245.
-
(2003)
Rend. Sem. Mat. Univ. Padova
, vol.109
, pp. 241-245
-
-
Zuniga-Galindo, W.A.1
|