Bingham, N. H. and Ostaszewski, Adam (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.
Full text not available from this repository.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) |
|---|---|
| Official URL: | http://www.cdam.lse.ac.uk |
| Additional Information: | © 2006 the authors |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Research centres and groups > Managerial Economics and Strategy Group Departments > Mathematics |
| Identification Number: | LSE-CDAM-2006-22 |
| Date Deposited: | 13 Oct 2008 14:53 |
| URL: | http://eprints.lse.ac.uk/13797/ |
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