Injectivity sets for spherical means on the Heisenberg group

被引：12

作者：

Agranovsky, ML ^{[1
]}

Rawat, R ^{[1
]}

机构：

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

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1999年 / 5卷 / 04期

关键词：

spherical means; Heisenberg group; twisted spherical means; Laguerre functions; hypergeometric functions;

D O I：

10.1007/BF01259377

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the boundary of a bounded domain is a set of injectivity for the twisted spherical means on C-n for a certain class of functions on C-n. As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform.

引用

页码：363 / 372

页数：10

共 9 条

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