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

Morneau-Guérin, Frédéric (Jun 2021). Convolution weights on l^2-spaces. Paper (invited) presented at the 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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[img]  PDF - MAT3600.pdf
Content : Slideshow
Item Type: Conference papers (unpublished)
Refereed: Yes
Status: Unpublished
Abstract: 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.
Official URL: https://wotca21.math.tecnico.ulisboa.pt/tota/
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 28 Jun 2021 15:42
Last Modified: 05 Jul 2021 11:00

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