Fractional Wavelet Packet Transformations Involving Hankel–Clifford Integral Transformations

被引：0

作者：

Akhilesh PRASAD ^{[1
]}

Sumant KUMAR ^{[1
]}

机构：

[1] Department of Applied Mathematics, Indian School of Mines

来源：

Acta Mathematica Sinica,English Series | 2016年 / 07期

关键词：

Wavelet packet transformation; fractional Hankel–Clifford integral transformation; fractional Hankel–Clifford integral convolution; wavelet;

D O I：

暂无

中图分类号：

O174.2 [傅里叶分析（经典调和分析）];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the fractional wavelet transformations(FrWT) involving Hankel–Clifford integral transformation(HClIT) on the positive half line and studied some of its basic properties. Also we obtain Parseval’s relation and an inversion formula. Examples of fractional powers of Hankel–Clifford integral transformation(FrHClIT) and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.

引用

页码：783 / 796

页数：14

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