The failure of spectral synthesis on some types of discrete abelian groups

DOI10.1016/J.JMAA.2003.11.041zbMath1051.43002OpenAlexW2005068001MaRDI QIDQ1433377

László Székelyhidi

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.041

zbMATH Keywords

spectral synthesisdiscrete Abelian group

Mathematics Subject Classification ID

Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (14)

Spectral Analysis and Spectral Synthesis ⋮ On the Principal Ideal Theorem and spectral synthesis on discrete abelian groups ⋮ Spectral synthesis and residually finite-dimensional algebras ⋮ Local spectral synthesis on abelian groups ⋮ A characterisation of local \(N\)-rings and an application to abstract harmonic analysis ⋮ Vector valued polynomials, exponential polynomials and vector valued harmonic analysis ⋮ Non-synthesizable varieties ⋮ Harmonic analysis on discrete Abelian groups ⋮ Noetherian rings of polynomial functions on abelian groups ⋮ Spectral synthesis on torsion groups ⋮ Spectral synthesis on discrete Abelian groups ⋮ On spectral analysis and spectral synthesis in the space of tempered functions on discrete abelian groups ⋮ Spectral synthesis problems on locally compact groups ⋮ Linear functional equations, differential operators and spectral synthesis

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• Théorie générale des fonctions moyenne-périodiques
• On the extension of exponential polynomials
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications

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