Normalizations of Eisenstein integrals for reductive symmetric spaces

E.P. van den Ban; Job Kuit

doi:10.1016/j.jfa.2017.01.004

Normalizations of Eisenstein integrals for reductive symmetric spaces

E.P. van den Ban
, Job Kuit

University of Copenhagen

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

Abstract

We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.

Original language	English
Pages (from-to)	2795 - 2864
Journal	Journal of Functional Analysis
Volume	272
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2017.01.004
Publication status	Published - 1 Apr 2017

Keywords

Symmetric spaces
Eisenstein integrals
Principal series
Intertwining operators

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abstract = "We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \textbackslash{}sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.",

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AB - We construct minimal Eisenstein integrals for a reductive symmetric space G/H as matrix coefficients of the minimal principal series of G. The Eisenstein integrals thus obtained include those from the \sigma-minimal principal series. In addition, we obtain related Eisenstein integrals, but with different normalizations. Specialized to the case of the group, this wider class includes Harish-Chandra's minimal Eisenstein integrals.

KW - Symmetric spaces

KW - Eisenstein integrals

KW - Principal series

KW - Intertwining operators

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DO - 10.1016/j.jfa.2017.01.004

M3 - Article

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VL - 272

SP - 2795

EP - 2864

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 7

ER -

Normalizations of Eisenstein integrals for reductive symmetric spaces

Abstract

Keywords

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