Wavelet transforms associated with the index Whittaker transform

被引：11
|
作者：
Prasad, Akhilesh [1 ]
Maan, Jeetendrasingh [1 ]
Verma, Sandeep Kumar [1 ]
机构：
[1] Indian Sch Mines, Indian Inst Technol, Dept Math & Comp, Dhanbad 826004, Bihar, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 13期
关键词：
composition of wavelets; convolution; index Whittaker transform; wavelets; wavelet transform;
D O I：
10.1002/mma.7440
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The continuous wavelet transform (CWT) associated with the index Whittaker transform is defined and discussed using its convolution theory. Existence theorem and reconstruction formula for CWT are obtained. Moreover, composition of CWT is discussed, and its Plancherel's and Parseval's relations are also derived. Further, the discrete version of this wavelet transform and its reconstruction formula are given. Furthermore, certain properties of the discrete Whittaker wavelet transform are discussed.
引用
收藏
页码：10734 / 10752
页数：19
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