Cookies?
Library Header Image
LSE Research Online LSE Library Services

Infinite combinatorics and the foundations of regular variation

Bingham, N. H. and Ostaszewski, Adam (2009) Infinite combinatorics and the foundations of regular variation. Journal of Mathematical Analysis and Applications, 360 (2). pp. 518-529. ISSN 0022-247X

Full text not available from this repository.

Abstract

The theory of regular variation is largely complete in one dimension, but is developed under regularity or smoothness assumptions. For functions of a real variable, Lebesgue measurability suffices, and so does having the property of Baire. We find here that the preceding two properties have common combinatorial generalizations, exemplified by ‘containment up to translation of subsequences’. All of our combinatorial regularity properties are equivalent to the uniform convergence property.

Item Type: Article
Official URL: http://www.elsevier.com/wps/find/journaldescriptio...
Additional Information: © 2009 Elsevier B.V.
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: UT ISI:000270762900018
Date Deposited: 15 Dec 2009 15:22
URL: http://eprints.lse.ac.uk/26026/

Actions (login required)

Record administration - authorised staff only Record administration - authorised staff only