On Bessel integrals for reducible degenerate principal series representations
type: Item
instance of: scholarly article
title: On Bessel integrals for reducible degenerate principal series representations
zbMATH Open document ID: 1222.22009
author: Takuya Miyazaki
published in: Journal of Functional Analysis
publication date: 2011-04-20T00:00:00Z
review text: In der vorliegenden Arbeit werden verallgemeinerte Besselintegrale mit nicht-ausgearteten Cha\-rakteren, die irreduziblen Untermoduln einer reduziblen ausgearteten Hauptreihendarstellung der \(\text{Sp}(n,\mathbb R)\) zugeordnet sind, untersucht. Der Autor gibt hinreichende Bedingungen für das Nullwerden der Integrale in Abhängigkeit von den Signaturen der Charaktere an. Eine wesentliche Rolle in dieser Arbeit spielt die Theorie von C. S. Herz über verallgemeinerte Laguerre-Polynome im Artikel zu Besselfunktionen über Matrizen aus dem Jahre 1955.
reviewed by: Heinrich Reitberger
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 33C80
zbMATH DE Number: 5880842
zbMATH Keywords: degenerate principal series representations
zbMATH Keywords: generalized confluent hypergeometric functions
zbMATH Keywords: generalized Bessel integrals
MaRDI profile type: Publication
full work available at URL: j.jfa.2011.01.013
OpenAlex ID: W1979263960
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DOI: 10.1016/J.JFA.2011.01.013
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description: scientific article; zbMATH DE number 5880842