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 ![]() | |
Molitor-Braun, Carine ![]() | |
Pusti, Sanjoy ![]() | |
Undated | |
Colloquium Mathematicum | |
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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