Continuous Wavelet Transform and Uncertainty Principle Related to the Spherical Mean Operator

被引：10

作者：

Rachdi, Lakhdar T. ^{[1
]}

Meherzi, Fatma ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Analyse Geometr & Harmon UR11ES23, Tunis 2092 2, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 01期

关键词：

Fourier transform; spherical mean operator; Plancherel formula; admissible wavelet; wavelet transform; uncertainty principle; INVERSION;

D O I：

10.1007/s00009-016-0834-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define and study the continuous wavelet transform associated with the spherical mean operator, we prove Plancherel formula, inversion formula, etc. Next we establish an analogue of Heisenberg's inequality for wavelet transform. Last, we study wavelet transform on subset of finite measures.

引用

页数：23

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