Vector valued polynomials, exponential polynomials and vector valued harmonic analysis

DOI10.1007/s00025-020-01274-5zbMath1456.43003arXiv2004.08936OpenAlexW3087170354WikidataQ115609471 ScholiaQ115609471MaRDI QIDQ2210807

Miklós Laczkovich

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08936

zbMATH Keywords

spectral synthesisexponential polynomialsBanach space-valued polynomials

Mathematics Subject Classification ID

Analysis on topological semigroups (22A20) (Spaces of) multilinear mappings, polynomials (46G25) Functional equations for functions with more general domains and/or ranges (39B52) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items

Levi-Civita functional equations and the status of spectral synthesis on semigroups. II, The solvability cardinal of the class of polynomials, Separately polynomial functions

Cites Work

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• Local spectral synthesis on abelian groups
• Polynomial mappings on Abelian groups
• The Levi-Civita equation in function classes
• Note on exponential polynomials
• Equations of the form \(H(x\cdot y)=\sum_if_i(x)g_i(y)\)
• The failure of spectral synthesis on some types of discrete abelian groups
• A characterization of generalized exponential polynomials in terms of decomposable functions
• Spectral synthesis on discrete Abelian groups
• Harmonic analysis on discrete Abelian groups
• Vector valued mean-periodic functions on groups
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications