Convolution weights on l^2-spaces [r-libre/2332]

Morneau-Guérin, Frédéric (juin 2021). Convolution weights on l^2-spaces. Communication (sur invitation) présentée au Trends in Operator Theory and its Applications: A Workshop for Young Researchers, TOTA 2021, Instituto Superior Técnico - Universidade de Lisboa, Portugal.

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Catégorie de document :	Communications à des congrès/colloques et conférences (non publiées)
Évaluation par un comité de lecture :	Oui
Étape de publication :	Non publié
Résumé :	It is known that the weighted Lp-space on a locally compact group is stable with respect to convolution if the weight function satisfies a certain type of convolution inequality. There are several counterexamples showing that this sufficient condition is not necessary. However, for one class of groups, namely discrete abelian groups, no such counterexample is known. Thus there remains the possibility that the convolution inequality truly characterizes stability of convolution for weighted Lp-spaces on these groups. In this talk, we investigate this inequality and, in the case p =2, reinterpret it in the light of operator theory and in the context of the theory of reproducing kernel Hilbert spaces.
Adresse de la version officielle :	https://wotca21.math.tecnico.ulisboa.pt/tota/
Déposant:	Morneau-Guérin, Frédéric
Responsable :	Frédéric Morneau-Guérin
Dépôt :	28 juin 2021 15:42
Dernière modification :	05 juill. 2021 11:00

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