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.
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页码：50 / 55
页数：6
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