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Stability of the space of square-summable sequences with respect to convolution [r-libre/1883]

Morneau-Guérin, Frédéric (Jul 2019). Stability of the space of square-summable sequences with respect to convolution. Paper presented at the 24th Conference on Banach Algebras and Applications, Winnipeg, Canada.

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Content : Abstract
Item Type: Conference papers (unpublished)
Refereed: Yes
Status: Unpublished
Abstract: It is widely known that the weighted Lp-space on a locally compact topological group G is stable with respect to convolution if the weight function w is weakly sub-convolutive. But there are numerous examples showing that this sufficient condition is not necessary. There is, however, a type of group, i.e. the discrete abelian groups, for which there remains a possibility that weak sub-convolutivity truly characterizes those weights entailing the stability of the Lp- space of functions with respect to convolution. In this talk, we will reinterpret this question (in the particular case of p = 2) in light of the theory of reproducing kernel Hilbert spaces and in the context of the operator theory.
Official URL: https://server.math.umanitoba.ca/~banach2019/index...
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 17 Jan 2020 20:35
Last Modified: 17 Jan 2020 20:35

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