Addendum to: ``A Hilbert space Dirichlet series and systems of dilated functions in \(L_2(0,1)\)

DOI10.1215/S0012-7094-99-09907-6zbMath0953.46015OpenAlexW2021052878WikidataQ59288554 ScholiaQ59288554MaRDI QIDQ1974937

Peter Lindqvist, Kristian Seip, Haakan Hedenmalm

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-09907-6

zbMATH Keywords

completenessFourier seriesDirichlet seriesbasis propertiesdilated functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Fourier series and coefficients in several variables (42B05)

Related Items (11)

Basis properties of Fučik eigenfunctions ⋮ Binomials whose dilations generate $H^2(\mathbb {D})$ ⋮ In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc ⋮ Some open questions in analysis for Dirichlet series ⋮ On the shift semigroup on the Hardy space of Dirichlet series ⋮ On asymptotic behavior of Dirichlet inverse ⋮ A multi-term basis criterion for families of dilated periodic functions ⋮ Some Banach spaces of Dirichlet series ⋮ Local interpolation in Hilbert spaces of Dirichlet series ⋮ Isometric and invertible composition operators on weighted Bergman spaces of Dirichlet series ⋮ Dirichlet spaces and their composition operators

Cites Work

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• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Carleson's convergence theorem for Dirichlet series.
• On convergence and growth of partial sums of Fourier series
• Approximation by \(\{f(kx)\}\)
• On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class
• Über eine Riemannsche Identität
• On the convergence of multiple Fourier series
• On a Trigonometrical Series of Riemann
• On a Class of Arithmetical Fourier Series
• A Class of Sequences of Functions
• Diophantine Approximations and Hilbert's Space

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