HARMONIC ANALYSIS ON HYPERGROUPS

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Date

2010

Journal Title

Journal ISSN

Volume Title

Type

Book chapter

Publisher

AMER INST PHYSICS

Series Info

ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE;Book Series: AIP Conference Proceedings Volume: 1309 Pages: 312-+

Doi

Scientific Journal Rankings

Abstract

The main task in this article is to give the necessary and sufficient conditions guarantees that the product of two positive definite functions defined on a hypergroup X is also positive definite on X. Also, we prove that a continuous function with compact support psi is negative definite if and only if exp(-t psi) is positive definite for each t > 0. Moreover, we will give some relations between the class of completely monotonic functions on a hypergroup and the set of tau- positive functions.

Description

Accession Number: WOS:000287125700035

Keywords

University for Hypergroup, Positive definite, Completely monotone

Citation

Cited References in Web of Science Core Collection: 9