Inversion of Bessel potentials with the aid of weighted wavelet transforms

被引：0

作者：

Aliev, IA ^{[1
]}

Eryigit, M

机构：

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

[2] Akdeniz Univ, Inst Sci, TR-07058 Antalya, Turkey

来源：

MATHEMATISCHE NACHRICHTEN | 2002年 / 242卷

关键词：

Bessel potentials; fractional derivative; weighted wavelet transform; Calderon-type reproducing formula;

D O I：

10.1002/1522-2616(200207)242:1<27::AID-MANA27>3.0.CO;2-D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A special type of weighted wavelet transforms is introduced and the relevant Calderon reproducing formula for functions f is an element of L-P(R-n) is proved. By making use of these wavelet-type transforms a new inversion formula of the classical Bessel potentials is obtained.

引用

页码：27 / 37

页数：11

共 15 条

[1] THEORY BESSEL POTENTIALS .2. [J].