HARMONIC ANALYSIS ON HYPERGROUPS
Date
2010
Authors
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