The Steinhaus theorem and regular variation: de Bruijn and after

DOI10.1016/j.indag.2013.05.002zbMath1303.26003OpenAlexW1993964800MaRDI QIDQ740459

Adam J. Ostaszewski, Nicholas H. Bingham

Publication date: 3 September 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2013.05.002

zbMATH Keywords

regular variationamenabilitycategory-measure dualityuniform convergence theorem

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (10)

Convergence in measure and in category, similarities and differences ⋮ Homomorphisms from functional equations: the Goldie equation ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Beyond Lebesgue and Baire. III: Steinhaus' theorem and its descendants ⋮ Effros, Baire, Steinhaus and non-separability ⋮ Tauberian Korevaar ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ On supports of probability Bernoulli-like measures ⋮ Beurling regular variation, Bloom dichotomy, and the Gołąb-Schinzel functional equation

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