The matrix equation \(a(x\cdot y)=a(x)+a(x)a(y)+a(y)\)

DOI10.1007/BF01835651zbMath0359.39002MaRDI QIDQ1238943

M. A. McKiernan

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/136652

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99) Matrix and operator functional equations (39B42)

Related Items (14)

Spectral Analysis and Spectral Synthesis ⋮ Sur un problème au sujet des homomorphismes. (On a problem concerning homomorphisms) ⋮ Some Levi-Civita functional equations on semigroups ⋮ Levi-Civita functional equations and the status of spectral synthesis on semigroups. II ⋮ Regularization and general methods in the theory of functional equations ⋮ Levi-Civita functional equations and the status of spectral synthesis on semigroups ⋮ Spectral synthesis on multivariate polynomial hypergroups ⋮ Functional equations on Abelian groups ⋮ Functions of binomial type, mapping groupoids into rings ⋮ Spectral synthesis problems on locally compact groups ⋮ Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\) ⋮ Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations ⋮ Über die multiplikative Translationsgleichung und idempotente Potenzreihenvektoren ⋮ Functional equations and \(^*\)-representations on topological semigroups

Cites Work

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• Quelques remarques sur l'équation fonctionnelle matricielle multiplicative de Cauchy
• On composed Poisson distributions, I
• On composed Poisson distributions, III

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