Regular variation without limits

DOI10.1016/j.jmaa.2010.04.013zbMath1204.26007OpenAlexW2047613963MaRDI QIDQ984785

Adam J. Ostaszewski, Nicholas H. Bingham

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.013

zbMATH Keywords

measurabilityBaire propertyinfinite combinatoricsuniform boundedness theorem\(O\)-regular variationsemigroup theorem

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (11)

Beurling moving averages and approximate homomorphisms ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Set theory and the analyst ⋮ Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure ⋮ Group action and shift-compactness ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ General regular variation, Popa groups and quantifier weakening ⋮ Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski ⋮ The Steinhaus theorem and regular variation: de Bruijn and after ⋮ Infinite combinatorics and the foundations of regular variation

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