Groups of continuous functions in harmonic analysis

DOI10.1007/BF02392332zbMath0214.38102OpenAlexW2153089784MaRDI QIDQ2545433

Nicholas Th. Varopoulos

Publication date: 1970

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392332

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Duality and reflexivity in normed linear and Banach spaces (46B10) Character groups and dual objects (43A40) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (16)

Non singular transformations and spectral analysis of measures ⋮ Automatic continuity and representation of group homomorphisms defined between groups of continuous functions ⋮ Helson Sets of Synthesis Are Ditkin Sets ⋮ Characterizations of groups generated by Kronecker sets ⋮ Some Thin Sets in Discrete Abelian Groups ⋮ Three spectral notions for representations of commutative Banach algebras ⋮ Some results on Kronecker, Dirichlet and Helson sets. II ⋮ An algebra dense in its tilde algebra ⋮ Polar sigma-ideals and sets of uniqueness in locally compact abelian groups ⋮ Some results on Kronecker, Dirichlet and Helson sets ⋮ The functions which operate on Fourier-Stieltjes transforms of L- subalgebras of \(M(\Pi)\) ⋮ Symbolic calculus for positive definite functions ⋮ Un problème d'extension linéaire dans les algèbres uniforms ⋮ A problem on the union of Helson sets ⋮ A continuous Helson surface in \(R^ 3\) ⋮ Exponential radicals of solvable Lie groups

Cites Work

• Unnamed Item
• Some results on Kronecker, Dirichlet and Helson sets. II
• Sets of multiplicity in locally compact abelian groups
• A functional method for linear sets
• On a problem of A. Beurling
• Tensor algebras and harmonic analysis
• Small subsets of finite abelian groups
• Groupes de fonctions continues sur un compact. Applications à l'étude des ensembles de Kronecker
• On Sets of Multiplicity for Trigonometrical Series

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