Ostaszewski, Adam ORCID: 0000-0003-2630-8663 and Bingham, N. H. (2020) General regular variation, Popa groups and quantifier weakening. Journal of Mathematical Analysis and Applications, 483 (2). ISSN 0022-247X
Text (General regular variation)
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Abstract
We introduce general regular variation, a theory of regular variation containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifying theme is the Popa groups of our title viewed as locally compact abelian ordered topological groups, together with their Haar measure and Fourier theory. The power of this unified approach is shown by the simplification it brings to the whole area of quantifier weakening, so important in this field.
Item Type: | Article |
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Official URL: | https://www.journals.elsevier.com/journal-of-mathe... |
Additional Information: | © 2019 Elsevier |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 29 Oct 2019 15:48 |
Last Modified: | 01 Oct 2024 03:46 |
URI: | http://eprints.lse.ac.uk/id/eprint/102272 |
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