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W4315588856 abstract "Let $G$ be a locally compact Abelian group, and $w: Gto (0, infty)$ be a Borel measurable weighted function. In this paper, the algebraic and topological properties of group algebra are studied and assessed. We show that the weighted group algebra $L^{1}(G, w)$ is regular if and only if $w$ is a nonquasianalytic weight function. Also $L^{1}(G, w)$ is Tauberian, for any Borel measurable weight function $w$ on the group $G$." @default.
W4315588856 created "2023-01-11" @default.
W4315588856 creator A5004243959 @default.
W4315588856 creator A5074715482 @default.
W4315588856 date "2023-01-09" @default.
W4315588856 modified "2023-10-01" @default.
W4315588856 title "Weighted group algebras" @default.
W4315588856 doi "https://doi.org/10.48550/arxiv.2301.03231" @default.
W4315588856 hasPublicationYear "2023" @default.
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