Spectral synthesis in L²(G)

Jean Ludwig, Carine Molitor-Braun, and Sanjoy Pusti. "Spectral synthesis in L²(G)." Colloquium Mathematicae 138.1 (2015): 89-103. <http://eudml.org/doc/283702>.

@article{JeanLudwig2015,
abstract = {For locally compact, second countable, type I groups G, we characterize all closed (two-sided) translation invariant subspaces of L²(G). We establish a similar result for K-biinvariant L²-functions (K a fixed maximal compact subgroup) in the context of semisimple Lie groups.},
author = {Jean Ludwig, Carine Molitor-Braun, Sanjoy Pusti},
journal = {Colloquium Mathematicae},
keywords = {spectral synthesis; translation invariant subspace of ; Plancherel theorem},
language = {eng},
number = {1},
pages = {89-103},
title = {Spectral synthesis in L²(G)},
url = {http://eudml.org/doc/283702},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Jean Ludwig
AU - Carine Molitor-Braun
AU - Sanjoy Pusti
TI - Spectral synthesis in L²(G)
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 1
SP - 89
EP - 103
AB - For locally compact, second countable, type I groups G, we characterize all closed (two-sided) translation invariant subspaces of L²(G). We establish a similar result for K-biinvariant L²-functions (K a fixed maximal compact subgroup) in the context of semisimple Lie groups.
LA - eng
KW - spectral synthesis; translation invariant subspace of ; Plancherel theorem
UR - http://eudml.org/doc/283702
ER -