Bingham, N. H. and Ostaszewski, A. J. (2009) The Index Theorem of topological regular variation and its applications. Journal of mathematical analysis and applications, 358 (2). pp. 238-248. ISSN 0022-247X
We develop further the topological theory of regular variation of [N.H. Bingham, A.J. Ostaszewski, Topological regular variation: I. Slow variation, LSE-CDAM-2008-11]. There we established the uniform convergence theorem (UCT) in the setting of topological dynamics (i.e. with a group T acting on a homogenous space X), thereby unifying and extending the multivariate regular variation literature. Here, working with real-time topological flows on homogeneous spaces, we identify an index of regular variation, which in a normed-vector space context may be specified using the Riesz representation theorem, and in a locally compact group setting may be connected with Haar measure.
|Additional Information:||© 2009 Elsevier Inc.|
|Uncontrolled Keywords:||Multivariate regular variation, uniform convergence theorem, topological dynamics, flows, cocycles, representation theorems|
|Library of Congress subject classification:||H Social Sciences > HA Statistics|
|Sets:||Departments > Mathematics|
Actions (login required)
|Record administration - authorised staff only|