Weighted group algebras

2023/01/09 by Maryam Aghakoochai, Aghakoochai, Maryam, Ali Rejali +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2301.03231

openalex publication_date 2023/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a locally compact Abelian group, and w: G→ (0, ∞) 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 L¹(G, w) is regular if and only if w is a nonquasianalytic weight function. Also L¹(G, w) is Tauberian, for any Borel measurable weight function w on the group G.

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