Multidimensional fractional Fourier transform and generalized fractional convolution

被引：24
|
作者：
Kamalakkannan, R. [1 ]
Roopkumar, R. [1 ]
机构：
[1] Cent Univ Tamil Nadu, Dept Math, Thiruvarur, India
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2020年 / 31卷 / 02期
关键词：
Fractional Fourier transform; convolution; inversion theorem; BAND-LIMITED SIGNALS; PRODUCT; ORDER;
D O I：
10.1080/10652469.2019.1684486
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove inversion theorems and Parseval identity for the multidimensional fractional Fourier transform. Analogous to the existing fractional convolutions on functions of single variable, we also introduce a generalized fractional convolution on functions of several variables and we derive their properties including convolution theorem and product theorem for the multidimensional fractional Fourier transform.
引用
收藏
页码：152 / 165
页数：14
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