Discontinuous additive functions: regular behavior vs. pathological features

DOI10.1016/j.exmath.2014.10.003zbMath1323.26006OpenAlexW2095002939MaRDI QIDQ491951

Claudio Bernardi

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.exmath.2014.10.003

zbMATH Keywords

periodic functionHamel basis, graph of an additive function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Linear transformations, semilinear transformations (15A04) Peculiar topological spaces (54G99)

Related Items

Graphs of real functions with pathological behaviors ⋮ About the region below the graph of a function ⋮ Unnamed Item

Cites Work

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• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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