Title

Fourier Transform Of Radon Measures On A Locally Compact Group

Keywords

Bochner theorem; Boehmians; Locally compact groups; Positive definite functions; Pseudoquotients

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. © 2010 Taylor & Francis.

Publication Date

11-1-2010

Publication Title

Integral Transforms and Special Functions

Volume

21

Issue

11

Number of Pages

815-821

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/10652461003687781

Socpus ID

78049500539 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78049500539

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