Polar sigma-ideals and sets of uniqueness in locally compact abelian groups

DOI10.5802/aif.1522zbMath0854.43006OpenAlexW2331105953MaRDI QIDQ1816865

Étienne Matheron

Publication date: 28 November 1996

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_2_493_0

zbMATH Keywords

sets of uniquenesslocally compact abelian groupsbands of measuresthird Baire class

Mathematics Subject Classification ID

Descriptive set theory (03E15) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46)

Related Items (2)

Descriptive set-theoretic aspects of closed sets of uniqueness in the non-abelian setting ⋮ Descriptive set Theory of Families of Small Sets

Cites Work

• A new type of sets of uniqueness
• Hereditary properties of the class of closed sets of uniqueness for trigonometric series
• Ensembles d'unicité et d'unicité au sens large. (Set of uniqueness and of uniqueness in the wide sense)
• Some results on Kronecker, Dirichlet and Helson sets
• Groups of continuous functions in harmonic analysis
• The Structure of σ-Ideals of Compact Sets
• Fermés d'unicité dans les groupes abéliens localement compacts
• A Helson set of uniqueness but not of synthesis
• Helson Sets which Disobey Spectral Synthesis
• Calculating Discriminants by Higher Direct Images
• Covering analytic sets by families of closed set
• Polar σ-Ideals of Compact Sets
• Covering theorems for uniqueness and extended uniqueness sets
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