An integral transform associated to the Poisson integral and inversion of Flett potentials

被引：11

作者：

Aliev, Ilham A. ^{[1
]}

Sezer, Sinem ^{[1
]}

Eryigit, Melih ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 02期

关键词：

Poisson integral; fractional integral; wavelet transform; inversion formulae; Flett potentials;

D O I：

10.1016/j.jmaa.2005.08.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new weighted wavelet-like transform, generated by the Poisson integral and a "wavelet measure." By making use of the relevant Calderon-type reproducing formula. we obtain an explicit inversion formula for the Flett potentials which are interpreted as negative fractional powers of the operator (E + Lambda). where Lambda = (-Delta)(1/2), Delta is the Laplacian and E is the identity operator. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：691 / 704

页数：14