Convolution with the linear canonical Hankel transformation

被引：8
|
作者：
Kumar, Tanuj [1 ]
Prasad, Akhilesh [1 ]
机构：
[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad 826004, Bihar, India
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2019年 / 25卷 / 01期
关键词：
Convolution; Linear canonical transformation; Linear time-invariant filter; Wavelets; Fredholm integral equation;
D O I：
10.1007/s40590-017-0187-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we introduce translation and convolution for linear canonical Hankel transformations and studied some inequalities. For the particular values of linear canonical Hankel transformation (i.e., for Hankel-Clifford transformation), we investigate linear time-invariant filters. Furthermore, some applications of linear canonical Hankel transformation to a generalized non-linear parabolic equation and a canonical convolution integral equation are given.
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页码：195 / 213
页数：19
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