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UID:7901@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160208T100000
DTEND;TZID=Europe/Paris:20160208T110000
DTSTAMP:20241120T205601Z
URL:https://www.i2m.univ-amu.fr/evenements/density-of-translates-in-weight
 ed-lp-spaces-on-locally-compact-groups/
SUMMARY:Evgueni Abakumov (LAMA\, Université Savoie Mont Blanc\, Le Bourget
 -du-Lac): Density of translates in weighted Lp-spaces on locally compact g
 roups
DESCRIPTION:Evgueni Abakumov: Let $G$ be a locally compact group\, and let 
 $1\\le p &lt\; \\infty$. Consider the weighted $L^p$-space $L^p(G\,\\omega
 )=\\{f:\\int|f\\omega|^p&lt\;\\infty\\}$\, where $\\omega:G\\to \\mathbb R
 $ is a positive measurable function. Under appropriate conditions on $\\om
 ega$\, $G$ acts on $L^p(G\,\\omega)$ by translations. When is this action 
 hypercyclic\, that is\, there is a function in this space such that the se
 t of all its translations is dense in $L^p(G\,\\omega)$? H. Salas (1995) g
 ave a criterion of hypercyclicity in the case $G=\\mathbb Z$ . Under mild 
 assumptions\, we present a corresponding characterization for a general lo
 cally compact group $G$. Our results are obtained in a more general settin
 g when the translations only by a subset $S\\subset G$ are considered.\nht
 tps://arxiv.org/abs/1703.06775\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Evgeny_Abakumov.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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