Two-radii theorems for quasi-analytic classes of functions on a sphere

被引：0

作者：

Volchkov V.V. ^{[1
]}

机构：

[1] Donetsk National University, Donetsk, 83001, 24, Universitetskaya Str.

来源：

Journal of Mathematical Sciences | 2013年 / 194卷 / 5期

关键词：

Legendre functions; quasianalyticity; spherical harmonics; spherical means; spherical transformation;

D O I：

10.1007/s10958-013-1548-6

中图分类号：

学科分类号：

摘要：

The problem of existence of non-trivial functions in quasi-analytic classes on a sphere that have zero integrals over all balls centered on a given set is investigated. The case where the set of centers is the union of two concentric spheres is completely studied. © 2013 Springer Science+Business Media New York.

引用

页码：584 / 602

页数：18

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