p-Adic Spherical Coordinates and Their Applications

被引：1

作者：

Kochubei, A. N. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Tereshchenkivska 3, UA-01601 Kiev, Ukraine

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2009年 / 1卷 / 02期

关键词：

p-adic numbers; spherical coordinates; homogeneous distributions; Levy processes;

D O I：

10.1134/S2070046609020071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the space Q(p)(n), where p not equal 2 and p does not divide n, we construct a p-adic counterpart of spherical coordinates. As applications, a description of homogeneous distributions on Q(p)(n) and a skew product decomposition of p-adic Levy processes are given.

引用

页码：157 / 166

页数：10

共 50 条

[21] p-adic pseudodifferential operators and p-adic wavelets
Kozyrev, SV
THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 138 (03) : 322 - 332
[22] p-adic periods, p-adic L-functions, and the p-adic uniformization of Shimura curves
Bertolini, M
Darmon, H
DUKE MATHEMATICAL JOURNAL, 1999, 98 (02) : 305 - 334
[23] P-ADIC GAMMA-FUNCTIONS AND THEIR APPLICATIONS
DIAMOND, J
LECTURE NOTES IN MATHEMATICS, 1984, 1052 : 168 - 175
[24] p-adic Bessel α-potentials and some of their applications
Torresblanca-Badillo, Anselmo
Ospino, J. E.
Arias, Francisco
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (03)
[25] p-Adic Properties of Hauptmoduln with Applications to Moonshine
Chen, Ryan C.
Marks, Samuel
Tyler, Matthew
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
[26] GROWTH OF p-ADIC ENTIRE FUNCTIONS AND APPLICATIONS
Boussaf, Kamal
Boutabaa, Abdelbaki
Escassut, Alain
HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (03): : 715 - 736
[27] p-adic affine dynamical systems and applications
Fan, AH
Li, MT
Yao, JY
Zhou, D
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (02) : 129 - 134
[28] New Applications of the p-Adic Nevanlinna Theory
Escassut A.
An T.T.H.
p-Adic Numbers, Ultrametric Analysis and Applications, 2018, 10 (1) : 12 - 31
[29] 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
[30] p-adic Welch Bounds and p-adic Zauner Conjecture
Krishna, K. M.
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2024, 16 (03) : 264 - 274

← 1 2 3 4 5 →