Spectral synthesis in $L^2(G)$

Reference : Spectral synthesis in $L^2(G)$


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/13138

Title :	Spectral synthesis in $L^2(G)$
Language :	English
Author, co-author :	Ludwig, Jean [Université de Lorraine, Metz > Institut Elie Cartan de Lorraine]
	Molitor-Braun, Carine [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Pusti, Sanjoy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Undated
Journal title :	Colloquium Mathematicum
Peer reviewed :	No
Audience :	International
Keywords :	[en] Spectral synthesis, translation invariant subspace of $L^2(G)$, Plancherel theorem
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/13138

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