Fractional Fourier transform of generalized functions

    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

    Language

    English

    First Page

    299

    Last Page

    312

    WOS Identifier

    WOS:000077712300009

    ISSN

    1065-2469

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