Ross Stokke
On Beurling measure algebras

Comment.Math.Univ.Carolin. 63,2 (2022) 169-187.

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

Keywords: weighted locally compact group; group algebra; measure algebra; Beurling algebra

DOI: DOI 10.14712/1213-7243.2022.016
AMS Subject Classification: 43A10 22D15 43A05 43A20 43A60 28C10