Hereditary properties of the class of closed sets of uniqueness for trigonometric series

DOI10.1007/BF02772948zbMath0769.42006OpenAlexW2155898120MaRDI QIDQ1182654

Alexander S. Kechris

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772948

zbMATH Keywords

hereditary propertiesRajchman measureclosed sets of uniqueness for trigonometric seriestheorem of Debs-Saint Raymond

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Related Items (11)

Two ideals connected with strong right upper porosity at a point ⋮ Topological representations ⋮ TUKEY ORDER AMONG IDEALS ⋮ On a \(\sigma \)-ideal of compact sets ⋮ \(G_{\delta }\) ideals of compact sets ⋮ Descriptive set Theory of Families of Small Sets ⋮ A \(G_\delta \) ideal of compact sets strictly above the nowhere dense ideal in the Tukey order ⋮ Kenilworth ⋮ Gδ Sets IN σ-IDEALS GENERATED BY COMPACT SETS ⋮ Polar sigma-ideals and sets of uniqueness in locally compact abelian groups ⋮ Trichotomies for ideals of compact sets

Cites Work

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• Ensembles d'unicité et d'unicité au sens large. (Set of uniqueness and of uniqueness in the wide sense)
• Fourier transforms and descriptive set theory
• The Structure of σ-Ideals of Compact Sets

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