Title

Fractional Fourier transform of generalized functions

Authors

Authors

A. I. Zayed

Comments

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Abbreviated Journal Title

Integral Transform. Spec. Funct.

Keywords

fractional Fourier transform; generalized functions; convolution; Mikusinski operators; Boehmians; SIGNALS; ORDER; Mathematics, Applied; Mathematics

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.

Journal Title

Integral Transforms and Special Functions

Volume

7

Issue/Number

3-4

Publication Date

1-1-1998

Document Type

Article

DOI Link

http://dx.doi.org/10.1080/10652469808819206

Language

English

First Page

299

Last Page

312

WOS Identifier

WOS:000077712300009

ISSN

1065-2469

Recommended Citation

"Fractional Fourier transform of generalized functions" (1998). Faculty Bibliography 1990s. 2516.
https://stars.library.ucf.edu/facultybib1990/2516