Fractional wavelet packet transformations involving Hankel–Clifford integral transformations

被引：0
|
作者：
Akhilesh Prasad
Sumant Kumar
机构：
[1] Indian School of Mines,Department of Applied Mathematics
来源：
Acta Mathematica Sinica, English Series | 2016年 / 32卷
关键词：
Wavelet packet transformation; fractional Hankel–Clifford integral transformation; fractional Hankel–Clifford integral convolution; wavelet; 65T60; 42A85; 47B35;
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学科分类号：
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.
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页码：783 / 796
页数：13
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