Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
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Publication:1251769
DOI10.1007/BF01836418zbMath0392.39004OpenAlexW2062456501MaRDI QIDQ1251769
Publication date: 1977
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/136674
Functional equations for functions with more general domains and/or ranges (39B52) Matrix and operator functional equations (39B42)
Related Items (23)
Generalized sine equations. I ⋮ 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 on commutative monoids with tractable prime ideals ⋮ Vector valued polynomials, exponential polynomials and vector valued harmonic analysis ⋮ Levi-Civita functional equations and the status of spectral synthesis on semigroups ⋮ On generalized hyperbolic functions and their characterization by functional equations ⋮ An extension theorem ⋮ Spectral synthesis on multivariate polynomial hypergroups ⋮ Functional equations on Abelian groups ⋮ Functions of binomial type, mapping groupoids into rings ⋮ Generalized sine and cosine addition laws and a Levi-Civita functional equation on monoids ⋮ Spectral synthesis problems on locally compact groups ⋮ A Levi-Civita equation on monoids, two ways ⋮ The Levi-Civita equation in function classes ⋮ Stability of generalized Cauchy equations ⋮ A generalization of the cosine-sine functional equation on groups ⋮ Addition theorems for solutions to linear homogeneous constant coefficient ordinary differential equations ⋮ On a functional equation of Aczél and Chung ⋮ Functional equations and \(^*\)-representations on topological semigroups
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