Distributional asymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems

We study distributional aymptotics and we proved p-adic Tauberian and Shannon-Kotelnikov theorems.

[1]  Gerald Kaiser,et al.  A Friendly Guide to Wavelets , 1994 .

[2]  V. S. Vladimirov Generalized functions over the field of p-adic numbers , 1988 .

[3]  Edward Witten,et al.  ADELIC STRING AMPLITUDES , 1987 .

[4]  S. Albeverio,et al.  Associated homogeneous p-adic distributions , 2003 .

[5]  Andrei Khrennikov,et al.  Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models , 2011 .

[6]  V. S. Vladimirov,et al.  Adèlic formulas for string amplitudes in fields of algebraic numbers , 1996 .

[7]  V. S. Vladimirov,et al.  P-adic analysis and mathematical physics , 1994 .

[8]  Ju N Drožžinov,et al.  QUASI-ASYMPTOTICS OF GENERALIZED FUNCTIONS AND TAUBERIAN THEOREMS IN THE COMPLEX DOMAIN , 1977 .

[9]  H. Bremermann Distributions, complex variables, and Fourier transforms , 1968 .

[10]  V. S. Vladimirov,et al.  Tauberian theorems for generalized functions , 1988 .

[11]  A. Zayed Advances in Shannon's Sampling Theory , 1993 .

[12]  A. Khrennikov,et al.  p‐Adic Colombeau‐Egorov type theory of generalized functions , 2005 .

[13]  Sergio Albeverio,et al.  Representations of the Weyl group in spaces of square integrable functions with respect to p-adic valued Gaussian distributions , 1996 .

[14]  Andrei Khrennikov,et al.  p-Adic Valued Distributions in Mathematical Physics , 1994 .

[15]  A. Khrennikov Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena , 2004 .

[16]  Ricardo Estrada,et al.  Asymptotic Analysis: A Distributional Approach , 1993 .

[17]  Igor Volovich,et al.  p-adic quantum mechanics , 1989 .

[18]  F. Bruhat Distributions sur un groupe localement compact et applications à l’étude des représentations des groupes $p$-adiques , 1961 .

[19]  W. H. Schikhof Ultrametric Calculus: An Introduction to p-Adic Analysis , 1984 .

[20]  I. V. Volovich,et al.  p-adic space-time and string theory , 1987 .

[21]  Sergei Kozyrev,et al.  Wavelet analysis as a p-adic spectral analysis , 2008 .

[22]  Igor Volovich,et al.  p-adic string , 1987 .

[23]  S. Albeverio,et al.  Nonlinear singular problems of $p$-adic analysis: associative algebras of $p$-adic distributions , 2005 .

[24]  V A Avetisov,et al.  p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes , 2002 .

[25]  Giorgio Parisi,et al.  On the p-adic five-point function , 1988 .