Associated homogeneous p-adic distributions

被引：8

作者：

Albeverio, S

Khrennikov, AY ^{[1
]}

Shelkovich, VM

机构：

[1] Vaxjo Univ, Int Ctr Math Modeling Phys & Cognit Sci, MSI, Vaxjo, Sweden

[2] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[3] SFB 611, Bonn, Germany

[4] BiBoS, Bielefeld, Germany

[5] IZKS, Bonn, Germany

[6] CERFIM, Locarno, Switzerland

[7] St Petersburg State Architecture & Civil Engn Uni, St Petersburg, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 313卷 / 01期

关键词：

associated homogeneous p-adic distributions (generalized functions);

D O I：

10.1016/j.jmaa.2005.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a concept of associated homogeneous p-adic distributions (generalized functions) and provide a mathematical description of all associated homogeneous distributions and their Fourier transform. We prove that any associated homogeneous distribution of degree pi(alpha)(x) is periodic in the variable a. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：64 / 83

页数：20

共 22 条

[1] p-adic Hilbert space representation of quantum systems with an infinite number of degrees of freedom [J].