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General regular variation, Popa groups and quantifier weakening

Ostaszewski, Adam and Bingham, N. H. (2019) General regular variation, Popa groups and quantifier weakening. Journal of Mathematical Analysis and Applications. ISSN 0022-247X (In Press)

[img] Text (General regular variation) - Accepted Version
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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
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: 08 Dec 2019 00:31
URI: http://eprints.lse.ac.uk/id/eprint/102272

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