Title

Fourier transform of Radon measures on a locally compact group

Authors

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

DOI Link

http://dx.doi.org/10.1080/10652461003687781

Language

English

First Page

815

Last Page

821

WOS Identifier

WOS:000283557100002

ISSN

1065-2469

Recommended Citation

"Fourier transform of Radon measures on a locally compact group" (2010). Faculty Bibliography 2010s. 6962.
https://stars.library.ucf.edu/facultybib2010/6962