Injectivity of the spherical mean operator on the conical manifolds of spheres

被引：4

作者：

Agranovsky, ML ^{[1
]}

Narayanan, EK ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-52100 Ramat Gan, Israel

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2004年 / 45卷 / 04期

基金：

以色列科学基金会;

关键词：

spherical mean; wave equation; dependence domain;

D O I：

10.1023/B:SIMJ.0000035826.91332.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a continuous function on R-n. If f has zero integral over every sphere intersecting a given subset A of R-n and A lies in no affine plane of dimension n - 2, then f vanishes identically. The condition on the dimension of A is sharp.

引用

页码：597 / 605

页数：9

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