On Isomorphism Between Certain Group Algebras on the Heisenberg Group

Let IHn denote the (2n + 1)-dimensional Heisenberg group and let K be a compact subgroup of Aut(IHn); the group of automorphisms of IHn. We prove that the algebra of radial functions on IHn and the algebra of spherical functions arising from the Gelfand pairs of the form (K, IHn) are algebraically i...

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Bibliographic Details
Date:2013
Main Authors: Egwe, M.E., Bassey, U.N.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106743
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Isomorphism Between Certain Group Algebras on the Heisenberg Group / M.E. Egwe, U.N. Bassey // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 2. — С. 150-164. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine