Article (Scientific journals)
A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K
Palmirotta, Guendalina; Olbrich, Martin
2022In Journal of Lie Theory
Peer reviewed
 

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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.
Precision for document type :
Review article
Disciplines :
Mathematics
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)
External co-authors :
yes
Language :
English
Title :
A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K
Publication date :
2022
Journal title :
Journal of Lie Theory
ISSN :
0940-2268
eISSN :
0949-5932
Publisher :
Heldermann Verlag, Germany
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 18 February 2022

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