On Beurling measure algebras

[摘要] 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.

[学科分类] 物理化学和理论化学

[关键词] weighted locally compact group;group algebra;measure algebra;Beurling algebra