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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Vydané v:	Mathematische Nachrichten Ročník 291; číslo 14-15; s. 2204 - 2228
Hlavní autori:	Ho, Vivian M., Ólafsson, Gestur
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Weinheim Wiley Subscription Services, Inc 01.10.2018
Predmet:	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
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