On functions with given spherical means on symmetric spaces

被引：0
|
作者：
Volchkov V.V. [1 ]
机构：
[1] Donetsk National University, Donetsk 34001, 24, Universitetskaya Str.
来源：
Journal of Mathematical Sciences | 2011年 / 175卷 / 4期
关键词：
Pompeiu transformation; symmetric spaces; two-radius theorems;
D O I：
10.1007/s10958-011-0354-2
中图分类号：
学科分类号：
摘要：
The inversion problem for a local Pompeiu transformation of rank one on symmetric spaces X of the noncompact type is studied. The reconstruction of a function defined in the ball BR ⊂ X by its averages on balls of two fixed radii lying in BR is obtained. © 2011 Springer Science+Business Media, Inc.
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页码：402 / 412
页数：10
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