Article
| Title: | On Beurling measure algebras (English) |
| Author: | Stokke, Ross |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 63 |
| Issue: | 2 |
| Year: | 2022 |
| Pages: | 169-187 |
| Summary lang: | English |
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| Category: | math |
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| 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. (English) |
| Keyword: | weighted locally compact group |
| Keyword: | group algebra |
| Keyword: | measure algebra |
| Keyword: | Beurling algebra |
| MSC: | 22D15 |
| MSC: | 28C10 |
| MSC: | 43A05 |
| MSC: | 43A10 |
| MSC: | 43A20 |
| MSC: | 43A60 |
| idZBL: | Zbl 07613029 |
| idMR: | MR4506131 |
| DOI: | 10.14712/1213-7243.2022.016 |
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| Date available: | 2022-11-02T09:14:53Z |
| Last updated: | 2023-03-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151084 |
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