HARMONIC ANALYSIS ON HYPERGROUPS
dc.Affiliation | October University for modern sciences and Arts (MSA) | |
dc.contributor.author | El Bab, A. S. Okb | |
dc.contributor.author | Ghany, Hossam. A. | |
dc.date.accessioned | 2020-01-14T08:02:49Z | |
dc.date.available | 2020-01-14T08:02:49Z | |
dc.date.issued | 2010 | |
dc.description | Accession Number: WOS:000287125700035 | en_US |
dc.description.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. | en_US |
dc.description.sponsorship | AMER INST PHYSICS | en_US |
dc.identifier.citation | Cited References in Web of Science Core Collection: 9 | en_US |
dc.identifier.issn | 978-0-7354-0863-0 | |
dc.identifier.uri | https://ijpam.eu/contents/2010-64-1/2/2.pdf | |
dc.language.iso | en | en_US |
dc.publisher | AMER INST PHYSICS | en_US |
dc.relation.ispartofseries | ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE;Book Series: AIP Conference Proceedings Volume: 1309 Pages: 312-+ | |
dc.relation.uri | https://cutt.ly/CrxEVR1 | |
dc.subject | University for Hypergroup | en_US |
dc.subject | Positive definite | en_US |
dc.subject | Completely monotone | en_US |
dc.title | HARMONIC ANALYSIS ON HYPERGROUPS | en_US |
dc.type | Book chapter | en_US |
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