Geodesic
On Beurling measure algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 169-187.

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We show how the measure theory of regular compacted-Borel measures defined on the $\delta$-ring of compacted-Borel subsets of a weighted locally compact group $(G,\omega)$ provides a compatible framework for defining the corresponding Beurling measure algebra ${\mathcal M}(G,\omega)$, thus filling a gap in the literature.
DOI : 10.14712/1213-7243.2022.016
Classification : 22D15, 28C10, 43A05, 43A10, 43A20, 43A60
Keywords: weighted locally compact group; group algebra; measure algebra; Beurling algebra 
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Stokke, Ross. On Beurling measure algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 169-187. doi : 10.14712/1213-7243.2022.016. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2022.016/

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