On spectral analysis and spectral synthesis in the space of tempered functions on discrete abelian groups

DOI10.1007/s00041-017-9567-1zbMath1397.43004OpenAlexW2767193073MaRDI QIDQ1783699

Sergei S. Platonov

Publication date: 21 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00041-017-9567-1

zbMATH Keywords

spectral analysisspectral synthesislocally compact abelian groupstempered functionsBruhat-Schwartz functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Spectral synthesis on groups, semigroups, etc. (43A45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Schwartz-Bruhat space and the Paley-Wiener theorem for locally compact Abelian groups
• Counterexamples to a problem of L. Schwartz
• The failure of spectral synthesis on some types of discrete abelian groups
• Théorie générale des fonctions moyenne-périodiques
• Spectral synthesis in some topological vector spaces of functions
• On spectral synthesis on element-wise compact Abelian groups
• Spectral synthesis on discrete Abelian groups
• A characterization of commutative Fréchet algebras with all ideals closed
• Harmonic analysis on discrete Abelian groups
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• On spectral synthesis on zero-dimensional Abelian groups
• About a structure of exponential monomials on some locally compact abelian groups
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Produits tensoriels topologiques et espaces nucléaires
• Analyse Et Synthese Harmoniques Dans Les Espaces De Distributions
• Spectral synthesis problems on locally compact groups

This page was built for publication: On spectral analysis and spectral synthesis in the space of tempered functions on discrete abelian groups