On Differential Operator in Compact Zero-dimensional Groups

被引：0

作者：

Kruss, I. S. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, 83 Astrakhanskaya Str, Saratov 410012, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2014年 / 14卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

zero-dimensional groups; pseudo-differential operator; strong P-adic derivative; strong P-adic integral;

D O I：

10.18500/1816-9791-2014-14-3-279-287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define strong derivative on zero-dimensional compact group and find conditions under which the differential operator does not depend from an orthonormal system that defines this derivative. For multidimensional case we find conditions under which the differential operator does not depend from method of conversion multidimensional group in one-dimensional group. We obtain a clear view of annihilators in a multidimensional compact zero-dimensional group.

引用

页码：279 / 287

页数：9

共 7 条

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