On Beurling measure algebras

Ross Stokke

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arXiv · 2107.14694

On Beurling measure algebras

Ross Stokke

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Abstract

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 ${\cal M}(G,\omega)$, thus filling a gap in the literature.

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Ross Stokke. 2021-07-30. On Beurling measure algebras. https://arxiv.org/abs/2107.14694

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