Some results on Kronecker, Dirichlet and Helson sets

DOI10.5802/aif.355zbMath0196.08403OpenAlexW2323984760WikidataQ56806053 ScholiaQ56806053MaRDI QIDQ2539459

Thomas William Körner

Publication date: 1970

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1970__20_2_219_0

zbMATH Keywords

approximation and series expansion

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Harmonic analysis on Euclidean spaces (42-XX)

Related Items (13)

Probability measures with trivial Stam groups ⋮ T‐numbers form anM₀set ⋮ Unnamed Item ⋮ M\(_0\)(G)-boundaries are M(G)-boundaries ⋮ Some results on Kronecker, Dirichlet and Helson sets. II ⋮ Descriptive set Theory of Families of Small Sets ⋮ Polar sigma-ideals and sets of uniqueness in locally compact abelian groups ⋮ A Galois connection related to restrictions of continuous real functions ⋮ Topics on Kronecker sets ⋮ An abstract form of a theorem of Helson and applications to sets of synthesis and sets of uniqueness ⋮ On the self-similarity problem for Gaussian-Kronecker flows ⋮ Tame measures and Raikov systems on the circle ⋮ The asymmetry of M₀(G)

Cites Work

• Some examples of sets with linear independance
• A functional method for linear sets
• Groups of continuous functions in harmonic analysis
• Über die Spaltung von Fourierreihen fastperiodischer Funktionen
• Groupes de fonctions continues sur un compact. Applications à l'étude des ensembles de Kronecker
• A problem on Kronecker sets
• Sur l'ensemble de convergence absolue d'une série trigonométrique
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