AN ANALOGUE OF COWLING-PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR

被引：14

作者：

Chettaoui, C. ^{[1
]}

Othmani, Y. ^{[1
]}

Trimeche, K. ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

ANALYSIS AND APPLICATIONS | 2004年 / 2卷 / 03期

关键词：

Spherical mean operator and its dual; generalized Fourier transform; Cowling-Price's theorem; Hardy's theorem;

D O I：

10.1142/S0219530504000370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the harmonic analysis associated with the spherical mean operator R and its dual R-t we establish an analogue of Cowling-Price's theorem and Hardy's theorem for the spherical mean operator R.

引用

页码：177 / 192

页数：16

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