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.
Disciplines :
Mathematics
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
