Convolution with the linear canonical Hankel transformation

被引：9

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.

引用

页码：195 / 213

页数：19

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