
AbstractWe 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)
Banach algebras of continuous functions, function algebras, spherical hypergroups, Fourier spaces, hypergroups, Measure algebras on groups, semigroups, etc., structure space of a Fourier algebra, Harmonic analysis on hypergroups, Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
Banach algebras of continuous functions, function algebras, spherical hypergroups, Fourier spaces, hypergroups, Measure algebras on groups, semigroups, etc., structure space of a Fourier algebra, Harmonic analysis on hypergroups, Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
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