Title

The Fourier Transform Of Levy Measures On A Semigroup

Keywords

Lévy measures; Lévy-Khinchin formula; Pseudoquotients

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 Lévy measures. As an application we obtain a generalization of the Lévy-Khinchin representation for completely alternating functions.

Publication Date

8-21-2008

Publication Title

Integral Transforms and Special Functions

Volume

19

Issue

8

Number of Pages

537-543

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/10652460802091500

Socpus ID

49549107973 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/49549107973

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