Article
MSC:
22D15,
28C10,
43A05,
43A10,
43A20,
43A60 | MR 4506131 | Zbl 07613029 | DOI: 10.14712/1213-7243.2022.016
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Keywords:
weighted locally compact group; group algebra; measure algebra; Beurling algebra
weighted locally compact group; group algebra; measure algebra; Beurling algebra
Summary:
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.
References:
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