Fourier transform of Radon measures on a locally compact group

    Authors

    D. Atanasiu;P. Mikusinski

    Comments

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    Abbreviated Journal Title

    Integral Transform. Spec. Funct.

    Keywords

    locally compact groups; positive definite functions; Bochner theorem; pseudoquotients; Boehmians; Mathematics, Applied; Mathematics

    Abstract

    A space of generalized functions is constructed that allows us to generalize Bochner's theorem so that all Radon measures on a locally compact group are in a one-to-one correspondence with elements of that space of generalized functions. This defines a Fourier transform for all Radon measures on a locally compact group.

    Journal Title

    Integral Transforms and Special Functions

    Volume

    21

    Issue/Number

    11

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    815

    Last Page

    821

    WOS Identifier

    WOS:000283557100002

    ISSN

    1065-2469

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