Polynomial mappings on Abelian groups

DOI10.1007/s00010-004-2727-9zbMath1073.39018OpenAlexW2011147381MaRDI QIDQ704867

Miklós Laczkovich

Publication date: 20 January 2005

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

Full work available at URL: https://doi.org/10.1007/s00010-004-2727-9

zbMATH Keywords

Abelian groupspolynomial functionsiterates of difference operators

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70)

Related Items (18)

Functional degrees and arithmetic applications. I: The set of functional degrees ⋮ On polynomial functions on non-commutative groups ⋮ Local spectral synthesis on abelian groups ⋮ A functional definition of polynomial for connected Lie groups ⋮ Jensen, multi-Jensen and polynomial functions on arbitrary Abelian groups ⋮ Generalized polynomials on semigroups ⋮ Monomial functions, normal polynomials and polynomial equations ⋮ Vector valued polynomials, exponential polynomials and vector valued harmonic analysis ⋮ Chevalley-Warning type results on abelian groups ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ Noetherian rings of polynomial functions on abelian groups ⋮ Classification of polynomial mappings between commutative groups. ⋮ Characterization of classes of polynomial functions ⋮ Existence of nontrivial solutions of linear functional equations ⋮ The solvability cardinal of the class of polynomials ⋮ Each semipolynomial on a group is a polynomial ⋮ Linear functional equations, differential operators and spectral synthesis ⋮ Local polynomials and the Montel theorem

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