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Asympotics of Spherical Functions For Large Rank: An Introduction

Jacques Faraut ()
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Jacques Faraut: Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu

A chapter in Representation Theory, Complex Analysis, and Integral Geometry, 2012, pp 251-275 from Springer

Abstract: Abstract We present the scheme developed by Okounkov and Olshanski for studying asymptotics of spherical functions on a compact symmetric space as the rank goes to infinity. The method is explained in the special case of the unitary group, and results are stated in the general case.

Keywords: Spherical function; Symmetric space; Schur function; Jack polynomial; Jacobi polynomial (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4817-6_10

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DOI: 10.1007/978-0-8176-4817-6_10

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