Some problems of analysis on the field of p-adic numbers

被引：0

作者：

Vladimirov, VS ^{[1
]}

机构：

[1] VA Steklov Math Inst, Moscow 117966, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1998年 / 6卷 / 1-4期

基金：

俄罗斯基础研究基金会;

关键词：

p-adic number; non-Archimedean field; adelic formula;

D O I：

10.1080/10652469808819155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give some results from analysis of complex-valued functions of p-adic arguments, namely: integration, the Fourier transformation, generalized functions, pseudo-differential operators (PDO), fundamental solutions, the Cauchy problem, spectral theory.

引用

页码：111 / 121

页数：11

共 46 条

[41] p-adic Gibbs measures for the hard core model with three states on the Cayley tree [J].

Khakimov, O. N. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2013, 177 (01) :1339-1351

[42] Solvability and Number of Roots of Bi-Quadratic Equations over p-adic Fields [J].

Saburov, M. ;

Ahmad, M. A. K. .

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 :15-35

[43] Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a [J].

Ladra, Manuel ;

Omirov, Bakhrom A. ;

Rozikov, Utkir A. .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (06) :1083-1093

[44] On the Behaviour of p-Adic Scaled Space Filling Curve Indices for High-Dimensional Data [J].

Bradley, Patrick Erik ;

Jahn, Markus Wilhelm .

COMPUTER JOURNAL, 2022, 65 (02) :310-330

[45] Description of All Translation-Invariant p-Adic Gibbs Measures for the Potts Model on a Cayley Tree [J].

Rozikov, U. A. ;

Khakimov, O. N. .

MARKOV PROCESSES AND RELATED FIELDS, 2015, 21 (01) :177-204

[46] On Descriptions of All Translation Invariant p-adic Gibbs Measures for the Potts Model on The Cayley Tree of Order Three [J].

Saburov, Mansoor ;

Ahmad, Mohd Ali Khameini .

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2015, 18 (01)

← 1 2 3 4 5 →