Wavelet-Like Transforms for Admissible Semi-Groups; Inversion Formulas for Potentials and Radon Transforms

被引：0

作者：

Ilham A. Aliev

Boris Rubin

机构：

[1] Department of Mathematics,

[2] Akdeniz University,undefined

[3] Antalya,undefined

[4] 07058,undefined

[5] Institute of Mathematics,undefined

[6] Hebrew University,undefined

[7] Jerusalem 91904,undefined

来源：

Journal of Fourier Analysis and Applications | 2005年 / 11卷

关键词：

Differential Equation; Partial Differential Equation; General Theory; Fourier Analysis; Integral Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a family of wavelet-like transforms associated to certain admissible semigroups of operators acting on Lp-spaces, and prove the corresponding reproducing formula of Calderòn’s type. The new transforms constitute a unified approach to inversion of a wide class of integral operators in analysis and applications. We illustrate the general theory by considering Riesz and Bessel potentials (associated to the ordinary and the generalized translation), and the k-plane Radon transform on ℝn.

引用

页码：333 / 352

页数：19

共 27 条

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