Mean-value type functional equations

DOI10.1007/BF01818476zbMath0741.39013OpenAlexW1977356740MaRDI QIDQ1180544

László Székelyhidi

Publication date: 27 June 1992

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

Full work available at URL: https://eudml.org/doc/137416

zbMATH Keywords

spectral synthesisabelian groupoctahedron equationlocally integrable functioncube equationgeneral complex solutionmean-value type functional equationspartial translation operator

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Related Items (1)

Functional equations and Weierstrass transforms

Cites Work

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• On the general solution of the triangle mean value equation
• Regularity properties of polynomials on groups
• Regularity properties of exponential polynomials on groups
• The octahedron equation implies the cube equation: an elementary proof
• On the generalized cube and octahedron functional equations
• Equivalence of 'cube' and 'octahedron' functional equations
• General and regular solutions of functional equations characterizing harmonic polynomials
• On a 'cube functional equation'
• Fréchet's equation and Hyers theorem on noncommutative semigroups
• Solution of the ‘Cube’ Functional Equation in Terms of ‘Trilinear Coefficients’

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