Analysis on flat symmetric spaces

Salem Ben Saïd; Bent Ørsted

doi:10.1016/j.matpur.2005.01.006

Analysis on flat symmetric spaces

Salem Ben Saïd
, Bent Ørsted

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

By taking an appropriate zero-curvature limit, we obtain the spherical functions on flat symmetric spaces G₀/K as limits of the Harish-Chandra's spherical functions. New and explicit formulas for the spherical functions on G₀/K are given. For symmetric spaces with root system of type A_n, we find the Taylor expansion of the spherical functions on G₀/K in a series of the Jack polynomials.

Original language	English
Pages (from-to)	1393-1426
Number of pages	34
Journal	Journal des Mathematiques Pures et Appliquees
Volume	84
Issue number	10
DOIs	https://doi.org/10.1016/j.matpur.2005.01.006
Publication status	Published - Oct 2005
Externally published	Yes

Keywords

Contraction principle
Spherical functions
Symmetric spaces

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2005.01.006

Cite this

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abstract = "By taking an appropriate zero-curvature limit, we obtain the spherical functions on flat symmetric spaces G0/K as limits of the Harish-Chandra's spherical functions. New and explicit formulas for the spherical functions on G0/K are given. For symmetric spaces with root system of type An, we find the Taylor expansion of the spherical functions on G0/K in a series of the Jack polynomials.",

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AU - Ørsted, Bent

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AB - By taking an appropriate zero-curvature limit, we obtain the spherical functions on flat symmetric spaces G0/K as limits of the Harish-Chandra's spherical functions. New and explicit formulas for the spherical functions on G0/K are given. For symmetric spaces with root system of type An, we find the Taylor expansion of the spherical functions on G0/K in a series of the Jack polynomials.

KW - Contraction principle

KW - Spherical functions

KW - Symmetric spaces

UR - https://www.scopus.com/pages/publications/25444520280

UR - https://www.scopus.com/pages/publications/25444520280#tab=citedBy

U2 - 10.1016/j.matpur.2005.01.006

DO - 10.1016/j.matpur.2005.01.006

M3 - Article

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JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 10

ER -

Analysis on flat symmetric spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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