The Levi-Civita equation in function classes

DOI10.1007/S00010-019-00686-1zbMath1444.39026OpenAlexW2982032809WikidataQ127025297 ScholiaQ127025297MaRDI QIDQ785646

Miklós Laczkovich

Publication date: 7 August 2020

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

Full work available at URL: https://doi.org/10.1007/s00010-019-00686-1

zbMATH Keywords

exponential polynomialstranslational invariant subspaces of function classes

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (4)

Levi-Civita functional equations and the status of spectral synthesis on semigroups. II ⋮ 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

Cites Work

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• On characterizations of exponential polynomials
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• On certain generalizations of the Levi-Civita and Wilson functional equations
• Finite dimensional translational invariant subspaces
• Théorie générale des fonctions moyenne-périodiques
• Spectral synthesis on discrete Abelian groups
• A characterization of exponential polynomials
• Translation Invariant Subspaces of Finite Dimension
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• Finite Dimensional Translation Invariant Spaces

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