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Fourier algebra of a hypergroup – II. Spherical hypergroups

✍ Scribed by Varadharajan Muruganandam

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
174 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We in this article, introduce a class of hypergroups called ultraspherical hypergroups and show that the Fourier space of an ultraspherical hypergroup forms a Banach algebra under pointwise product. These hypergroups need not be commutative and include for example double coset hypergroups. We also show that the structure space of this algebra equals the underlying hypergroup. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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