Functional equations on Abelian groups

DOI10.1007/BF01904885zbMath0421.39006OpenAlexW1999685381MaRDI QIDQ3854085

László Székelyhidi

Publication date: 1981

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904885

zbMATH Keywords

Abelian groupsmatrix equationsexponential polynomials

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Exponential and trigonometric functions (33B10) Matrix and operator functional equations (39B42)

Related Items (5)

Unitary representations of topological groups and functional equations ⋮ Functional equations on abelian groups with involution ⋮ D'Alembert's matrix functional equation with an endomorphism on abelian groups ⋮ On operator-valued spherical functions ⋮ A variant of d'Alembert's matrix functional equation

Cites Work

• On characterizations of exponential polynomials
• The matrix equation \(a(x\cdot y)=a(x)+a(x)a(y)+a(y)\)
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• Über die multiplikative Cauchysche Funktionalgleichung für Matrizen dritter Ordnung
• Finite dimensional translational invariant subspaces
• Some unsolved problems in the theory of functional equations
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• On vanishing n-th ordered differences and Hamel bases
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