Uniqueness theorems for some classes of functions with zero spherical means

被引：3

作者：

Volchkov, VV ^{[1
]}

机构：

[1] Donetsk State Univ, Donetsk, Ukraine

来源：

MATHEMATICAL NOTES | 1997年 / 62卷 / 1-2期

关键词：

functions with zero spherical means; growth at infinity; spherical harmonics; expansions in special functions;

D O I：

10.1007/BF02356063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study various classes of functions that have zero integrals over all spheres of given radius. For these functions, we obtain a description in the form of a series in special functions; the problem of the existence of a nonzero function of prescribed growth with this property is completely solved.

引用

页码：50 / 55

页数：6

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