Title

Fractional fourier transform of generalized functions

Keywords

Boehrnians; Convolution; Fractional Fourier transform; Generalized functions; Mikusinski operators

Abstract

In recent years the fractional Fourier transform (FRFT), which is a generalization of the Fourier transform, has been the focus of many research papers because of its applications in several areas, including signal processing and optics. In this paper, we extend the fractional Fourier transform to different spaces of generalized functions using two different techniques, one analytic and the other algebraic. The algebraic approach requires the introduction of a new convolution operation for the fractional Fourier transform that makes the transform of a convolution of two functions almost equal to the product of their transforms. © 1998 OPA (Overseas Publishers Association).

Publication Date

1-1-1998

Publication Title

Integral Transforms and Special Functions

Volume

7

Issue

3-4

Number of Pages

299-312

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/10652469808819206

Socpus ID

0008827865 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0008827865

This document is currently not available here.

Share

COinS