Continuous manifolds in \(R^ n \)that are sets of interpolation for the Fourier algebra

DOI10.1007/BF02390509zbMath0503.43005MaRDI QIDQ1173232

Gordon S. Woodward, O. Carruth McGehee

Publication date: 1982

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

manifoldFourier-Stieltjes transformHelson set

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (4)

On p-Helson sets in \(R^ n\) ⋮ p-Helson curves in the plane ⋮ An abstract form of a theorem of Helson and applications to sets of synthesis and sets of uniqueness ⋮ A continuous Helson surface in \(R^ 3\)

Cites Work

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• Fourier transforms related to convex sets
• Some results on Kronecker, Dirichlet and Helson sets. II
• On the spectral synthesis problem for \((n-1)\)-dimensional subsets of \(R^ n,\,n \geq 2\)
• On the union of two Helson sets
• Estimates for the Fourier transform of the characteristic function of a convex set
• A problem on the union of Helson sets
• Fourier transforms on perfect sets
• The Spectral Theory of Bounded Functions
• Fourier transforms of surface-carried measures and differentiability of surface averages
• On multipliers preserving convergence of trigonometric series almost everywhere
• Sur les réarrangements de fonctions de la classe A
• On a Theorem of N.Th. Varopoulos.
• Shorter Notes: Elementary Proof of a Theorem of Helson
• Drury's lemma and Helson sets
• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL

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