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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2013, Volume 9, Number 2, Pages 150–164
(Mi jmag554)
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This article is cited in 1 scientific paper (total in 1 paper)
On Isomorphism Between Certain Group Algebras on the Heisenberg Group
M. E. Egwe, U. N. Bassey Department of Mathematics, University of Ibadan,
Ibadan, Nigeria
Abstract:
Let $I\!\!H_n$ denote the $(2n+1)$-dimensional Heisenberg group and let $K$ be a compact subgroup of $Aut(I\!\!H_n)$, the group of automorphisms of $I\!\!H_n$. We prove that the algebra of radial functions on $I\!\!H_n$ and the algebra of spherical functions arising from the Gelfand pairs of the form $(K, I\!\!H_n)$ are algebraically isomorphic.
Key words and phrases:
Heisenberg group, spherical functions, radial functions, Heat kernel, algebra isomorphism.
Received: 06.07.2009 Revised: 27.03.2012
Citation:
M. E. Egwe, U. N. Bassey, “On Isomorphism Between Certain Group Algebras on the Heisenberg Group”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 150–164
Linking options:
https://www.mathnet.ru/eng/jmag554 https://www.mathnet.ru/eng/jmag/v9/i2/p150
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Abstract page: | 295 | Full-text PDF : | 117 | References: | 41 |
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