A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K

Reference : A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundle...


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/50353

Title :	A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K
Language :	English
Author, co-author :	Palmirotta, Guendalina [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
	Olbrich, Martin [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	2022
Peer reviewed :	Yes
Abstract :	[en] We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type X = G/K. We prove a characterisation of their range. In fact, from Delorme’s Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener- Schwartz theorems for sections.
Permalink :	http://hdl.handle.net/10993/50353

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