Some generalization of the quadratic and Wilson's functional equation

DOI10.1007/s00010-013-0185-yzbMath1297.39022OpenAlexW2039018612WikidataQ59398097 ScholiaQ59398097MaRDI QIDQ2248829

Radosław ~Łukasik

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00010-013-0185-y

zbMATH Keywords

automorphism groupquadratic functional equationWilson's functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (3)

The stability of some generalizations of the quadratic and Wilson's functional equations ⋮ -SPHERICAL FUNCTIONS ON ABELIAN SEMIGROUPS ⋮ Some generalization of Cauchy's and Wilson's functional equations on abelian groups

Cites Work

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• Some generalization of Cauchy's and the quadratic functional equations
• Wilson's functional equation on \(\mathbb{C}\)
• Functional equations involving means of functions on the complex plane
• Functional equations on abelian groups with involution. II
• Functional equations on semigroups
• On a signed cosine equation of \(N\) summands
• Group representations of bounded cosine functions.
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• On the stability of the quadratic mapping in normed spaces

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