Beurling regular variation, Bloom dichotomy, and the Gołąb-Schinzel functional equation

DOI10.1007/s00010-014-0260-zzbMath1323.26004OpenAlexW2037877466MaRDI QIDQ2350273

Adam J. Ostaszewski

Publication date: 19 June 2015

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-014-0260-z

zbMATH Keywords

Beurling regular variationcategory-measure dualityGołąb-Schinzel functional equationself-neglecting functionsBeurling's equationBloom dichotomy

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Multiplicative and other generalized difference equations (39A20)

Related Items (9)

Homomorphisms from functional equations: the Goldie equation ⋮ Beurling moving averages and approximate homomorphisms ⋮ Stability problem for the composite type functional equations ⋮ Tauberian Korevaar ⋮ Homomorphisms from Functional Equations in Probability ⋮ Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equation ⋮ Stable laws and Beurling kernels ⋮ General regular variation, Popa groups and quantifier weakening ⋮ Extremes and regular variation

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