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Moscow Mathematical Journal, 2014, Volume 14, Number 1, Pages 63–81
DOI: https://doi.org/10.17323/1609-4514-2014-14-1-63-81 (Mi mmj515) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Olshanski spherical pairs related to the Heisenberg group

Jacques Faraut

Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4 place Jussieu, case 247, 75 252 Paris cedex 05, France
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DOI: https://doi.org/10.17323/1609-4514-2014-14-1-63-81
Abstract: An Olshanski spherical pair $(G,K)$ is the inductive limit of a sequence of Gelfand pairs $(G(n),K(n))$. A natural question arises: how a spherical function for $(G,K)$ can be obtained as limit of spherical functions for $(G(n),K(n))$. In this paper we consider a sequence of Gelfand pairs $(G(n),K(n))$ related to the Heisenberg group.
Key words and phrases: Heisenberg group, spherical function, Jack polynomial, Laguerre polynomial.
Received: July 6, 2010; in revised form June 20, 2013
Bibliographic databases:
Document Type: Article
MSC: 43A90, 22E27, 33C50
Language: English
Citation: Jacques Faraut, “Olshanski spherical pairs related to the Heisenberg group”, Mosc. Math. J., 14:1 (2014), 63–81
Citation in format AMSBIB
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\by Jacques~Faraut
\paper Olshanski spherical pairs related to the Heisenberg group
\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 1
\pages 63--81
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3221947}
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    • This publication is cited in the following 3 articles:
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