A note on d'Alembert's functional equation on a restricted domain

DOI10.1007/s00010-013-0246-2zbMath1305.39016OpenAlexW2064246170WikidataQ59399175 ScholiaQ59399175MaRDI QIDQ744041

Anna Bahyrycz, Janusz Brzdȩk

Publication date: 2 October 2014

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

Full work available at URL: https://doi.org/10.1007/s00010-013-0246-2

zbMATH Keywords

cosine functiond'Alembert's functional equationcommutative grouprestricted domainquadratically closed field

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (3)

Van Vleck's functional equation for the sine ⋮ Ulam's type stability of involutional-exponential functional equations ⋮ Popoviciu type equations on cylinders

Cites Work

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• Properties of d'Alembert functions
• Cosine functions revisited
• On solutions of the d'Alembert equation on a restricted domain
• D'Alembert's functional equation on topological groups
• On operator-valued spherical functions

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