Paley–Wiener theorem for line bundles over compact symmetric spaces and new estimates for the Heckman–Opdam hypergeometric functions

Paley–Wiener type theorems describe the image of a given space of functions, often compactly supported functions, under an integral transform, usually a Fourier transform on a group or homogeneous space. In this article we proved a Paley–Wiener theorem for smooth sections f of homogeneous line bundl...

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Bibliographic Details

Published in:	Mathematische Nachrichten Vol. 291; no. 14-15; pp. 2204 - 2228
Main Authors:	Ho, Vivian M., Ólafsson, Gestur
Format:	Journal Article
Language:	English
Published:	Weinheim Wiley Subscription Services, Inc 01.10.2018
Subjects:	43A85; Secondary: 22E46 43A90 53C35 Bundles Fourier transform Fourier transforms hypergeometric function Hypergeometric functions Integral transforms Paley–Wiener theorem Primary: 33C67 symmetric space Theorems
ISSN:	0025-584X, 1522-2616
Online Access:	Get full text
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