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arXiv · 2601.22646

On the BSE and BED properties of the Beurling algebra $L^1(G,\omega)$

Jekwin J. Dabhi·Prakash A. Dabhi
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Abstract

Let $G$ be a locally compact abelian group, and let $\omega:G \to [1,\infty)$ be a weight, i.e., $\omega$ is measurable, $\omega$ is locally bounded and $\omega(s+t)\leq \omega(s)\omega(t)$ for all $s, t \in G$. If $\omega^{-1}$ is vanishing at infinity, then we show that the Beurling algebra $L^1(G,\omega)$ is both BSE- algebra and BED- algebra.

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Jekwin J. Dabhi, Prakash A. Dabhi. 2026-01-30. On the BSE and BED properties of the Beurling algebra $L^1(G,\omega)$. https://arxiv.org/abs/2601.22646

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