Resource title

Beyond Lebesgue and Baire: generic regular variation

Resource image

image for OpenScout resource :: Beyond Lebesgue and Baire: generic regular variation

Resource description

We show that the No Trumps combinatorial property (NT), introduced for the study of the foundations of regular variation in LSE-CDAM-2006-22, permits a natural extension of the definition of the class of functions of regular variation, including the measurable/Baire functions to which the classical theory restricts itself. The `generic functions of regular variation' defined here characterize the maximal class of functions, to which the three fundamental theorems of regular variation (Uniform Convergence, Representation and Characterization Theorems) apply. The proof uses combinatorial variants of the Steinhaus and Ostrowski Theorems deduced from NT in LSE-CDAM-2007-15.

Resource author

Resource publisher

Resource publish date

Resource language

en

Resource content type

Resource resource URL

http://eprints.lse.ac.uk/6823/

Resource license