Tauberian theorems for p-adic distributions

被引:0
|
作者
Khrennikov, A. Yu.
Shelkovich, V. M. [1 ]
机构
[1] St Petersburg State Architecture & Civil Engn Uni, Dept Math, St Petersburg, Russia
[2] Vaxjo Univ, Int Ctr Math Modelling Phys & Cognit Sci MSI, Vaxjo, Sweden
关键词
p-adic distributions; quasi-asymptotics; Vladimirov's pseudo-differential operator;
D O I
10.1080/10652460500437781
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The notion of a quasi-asymptotics adapted to the case of p-adic distributions ( generalized functions) is introduced, and p-adic analogs of Tauberian theorems for distributions are proved.
引用
收藏
页码:141 / 147
页数:7
相关论文
共 50 条
  • [41] The Ward property for a P-adic basis and the P-adic integral
    Bongiorno, B
    Di Piazza, L
    Skvortsov, VA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (02) : 578 - 592
  • [42] p-adic Welch Bounds and p-adic Zauner Conjecture
    Krishna, K. M.
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2024, 16 (03) : 264 - 274
  • [43] p-Adic differential equations and p-adic coefficients on curves
    Christol, G
    Mebkhout, Z
    ASTERISQUE, 2002, (279) : 125 - +
  • [44] On approximation of p-adic numbers by p-adic algebraic numbers
    Beresnevich, VV
    Bernik, VI
    Kovalevskaya, EI
    JOURNAL OF NUMBER THEORY, 2005, 111 (01) : 33 - 56
  • [45] P-adic Measures and P-adic Spaces of Continuous Functions
    Katsaras, A. K.
    NOTE DI MATEMATICA, 2010, 30 (01): : 61 - 85
  • [46] Simultaneous approximation problems of p-adic numbers and p-adic knapsack cryptosystems - Alice in p-adic numberland
    Inoue H.
    Kamada S.
    Naito K.
    P-Adic Numbers, Ultrametric Analysis, and Applications, 2016, 8 (4) : 312 - 324
  • [47] A p-Adic Model of Quantum States and the p-Adic Qubit
    Aniello, Paolo
    Mancini, Stefano
    Parisi, Vincenzo
    ENTROPY, 2023, 25 (01)
  • [48] Quantum p-adic spaces and quantum p-adic groups
    Soibelman, Yan
    IN MEMORY OF ALEXANDER REZNIKOV, 2008, 265 : 697 - 719
  • [49] Tauberian theorems for integral transforms of distributions
    Pilipovic, S
    Stankovic, B
    ACTA MATHEMATICA HUNGARICA, 1997, 74 (1-2) : 135 - 153
  • [50] Tauberian theorems for integral transforms of distributions
    S. Pilipović
    B. Stanković
    Acta Mathematica Hungarica, 1997, 74 : 135 - 153