Reference : Spectral synthesis in $L^2(G)$
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/13138
Spectral synthesis in $L^2(G)$
English
Ludwig, Jean mailto [Université de Lorraine, Metz > Institut Elie Cartan de Lorraine]
Molitor-Braun, Carine mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Pusti, Sanjoy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Undated
Preprint
No
International
[en] Spectral synthesis, translation invariant subspace of $L^2(G)$, Plancherel theorem
[en] For locally compact, second countable, type I groups
$G$, we characterize all closed (two-sided) translation invariant
subspaces of $L^2(G)$. We establish a similar result for
$K$-biinvariant $L^2$-functions ($K$ a fixed maximal compact
subgroup) in the context of semisimple Lie groups.
http://hdl.handle.net/10993/13138

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