Degenerate principal series and invariant distributions
type: Item
instance of: scholarly article
title: Degenerate principal series and invariant distributions
zbMATH Open document ID: 0708.22005
DOI: 10.1007/BF02764727
author: Stephen S. Kudla
author: Steve Rallis
published in: Israel Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The authors describe the tempered distributions on a matrix space which are invariant under the linear action of an orthogonal group O(p,q). They determine the points of reducibility of the degenerate principal series of the metaplectic group Mp(n,\({\mathbb{R}})\) induced from a character of the maximal parabolic with GL(n,\({\mathbb{R}})\) as Levi factor. They also identify the representation of Mp(n,\({\mathbb{R}})\) which is associated to the trivial representation of O(p,q) under the Archimedean theta correspondence.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 4163165
zbMATH Keywords: tempered distributions
zbMATH Keywords: linear action
zbMATH Keywords: orthogonal group
zbMATH Keywords: points of reducibility
zbMATH Keywords: degenerate principal series
zbMATH Keywords: metaplectic group
zbMATH Keywords: Archimedean theta correspondence
reviewed by: Paul Godin
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02764727
OpenAlex ID: W1996421919
description: scientific article; zbMATH DE number 4163165