Reference : A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundle...
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/50353
A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K
English
Palmirotta, Guendalina mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Olbrich, Martin mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
2022
Yes
[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.
http://hdl.handle.net/10993/50353

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