Factorization of cosine functions on compact connected groups

DOI10.1007/s00209-006-0001-7zbMath1133.39022OpenAlexW1988793824MaRDI QIDQ2457743

Dilian Yang

Publication date: 23 October 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0001-7

zbMATH Keywords

Lie groupscosine functional equationd'Alembert's equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (11)

Stability of a generalization of Wilson's equation ⋮ A variant of d'Alembert functional equation on monoids ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ On solutions of the d'Alembert equation on a restricted domain ⋮ Generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Solutions and Stability of Some Functional Equations on Semigroups ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups ⋮ \(k\)-valued Wilson functions ⋮ On Wilson's functional equations

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• D'Alembert's functional equations on metabelian groups
• D'Alembert's and Wilson's functional equations on step 2 nilpotent groups
• d'Alembert's and Wilson's equations on Lie groups
• On operator-valued spherical functions
• Group representations of bounded cosine functions.
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• The structure of compact groups. A primer for the student -- a handbook for the expert

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