Conical uniqueness sets for the spherical Radon transform

被引：24

作者：

Agranovsky, ML ^{[1
]}

Volchkov, VV

Zalcman, LA

机构：

[1] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel

[2] Donetsk State Univ, Cathedra Math Anal & Theory Funct, UA-340055 Donetsk, Ukraine

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1999年 / 31卷

关键词：

D O I：

10.1112/S0024609398005396

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a cone in R-n. Then K is a uniqueness set for the spherical Radon transform if and only if it is not contained in the zero set of any (nontrivial) homogeneous harmonic polynomial. A local version of this result is also proved.

引用

页码：231 / 236

页数：6