Calderon's formula associated with a differential operator on (0, ∞) and inversion of the generalized Abel transform

被引：10

作者：

Mourou, MA ^{[1
]}

Trimeche, K ^{[1
]}

机构：

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

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 1998年 / 4卷 / 02期

关键词：

generalized continuous wavelet transform; Calderon's formula; generalized Abel transform;

D O I：

10.1007/BF02475991

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Calderon reproducing formula for a continuous wavelet transform associated with a class of singular differential operators on the half line. We apply this result to derive a new inversion formula for the generalized Abel transform.

引用

页码：229 / 245

页数：17

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