Boundary value problems for Whittaker functions on real split semisimple Lie groups
type: Item
instance of: scholarly article
title: Boundary value problems for Whittaker functions on real split semisimple Lie groups
zbMATH Open document ID: 0621.22011
DOI: 10.1215/S0012-7094-86-05335-4
author: Hisayosi Matumoto
published in: Duke Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Let G be a connected real split semisimple Lie group with finite center, and let \(G=KAN\) be an Iwasawa decomposition. Denote by B(G) the space of hyperfunctions on G. If \(\psi\) is a character of N, the space of Whittaker hyperfunctions B(G/N,\(\psi)\) is defined as \(\{\) \(f\in B(G)\), \(f(gn)=\psi (n)f(g)\) for \(g\in G\), \(n\in N\}\). The author studies the structure of the space of Whittaker hyperfunctions, using Oshima's generalization of the notion of differential equations with regular singularities and their boundary values.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 22E45
Mathematics Subject Classification ID: 58J15
zbMATH DE Number: 4006558
zbMATH Keywords: Whittaker functions
zbMATH Keywords: real split semisimple Lie group
zbMATH Keywords: Whittaker hyperfunctions
zbMATH Keywords: differential equations with regular singularities
reviewed by: Paul Godin
MaRDI profile type: Publication
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full work available at URL: s0012-7094-86-05335-4
OpenAlex ID: W1487790109
description: scientific article; zbMATH DE number 4006558