Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663
(2006)
Foundations of regular variation.
CDAM research report (LSE-CDAM-2006-22).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Abstract
The theory of regular variation is largely complete in one dimen- sion, but is developed under regularity or smoothness assumptions. For functions of a real variable, Lebesgue measurability su¢ ces, and so does having the property of Baire. We nd here that the preceding two properties have two kinds of common generalization, both of a combinatorial nature; one is exempli ed by �containment up to trans- lation of subsequences�, the other, drawn from descriptive set theory, requires non-emptiness of a Souslin 1 2 -set. All of our generalizations are equivalent to the uniform convergence property
Item Type: | Monograph (Report) |
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Official URL: | http://www.cdam.lse.ac.uk |
Additional Information: | © 2006 the authors |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 13 Oct 2008 14:53 |
Last Modified: | 12 Dec 2024 05:43 |
URI: | http://eprints.lse.ac.uk/id/eprint/13797 |
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