Title

The Fourier transform of Levy measures on a semigroup

Authors

Authors

D. Atanasiu;P. Mikusinski

Comments

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Abbreviated Journal Title

Integral Transform. Spec. Funct.

Keywords

pseudoquotients; Levy measures; Levy-Khinchin formula; POSITIVE-DEFINITE FUNCTIONS; Mathematics, Applied; Mathematics

Abstract

Using completely positive-definite functions defined on a commutative semigroup, we construct a space of pseudoquotients that can be identified, via a Fourier transform, with a class of Levy measures. As an application we obtain a generalization of the Levy-Khinchin representation for completely alternating functions.

Journal Title

Integral Transforms and Special Functions

Volume

19

Issue/Number

8

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

537

Last Page

543

WOS Identifier

WOS:000258450900001

ISSN

1065-2469

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