Binomials whose dilations generate $H^2(\mathbb {D})$

DOI10.1090/spmj/1522zbMath1404.30060OpenAlexW2891012198MaRDI QIDQ4586405

Nikolai Nikolski

Publication date: 13 September 2018

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1522

zbMATH Keywords

Riesz basisHardy spacecompleteness of dilations

Mathematics Subject Classification ID

Hardy spaces (30H10) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (2)

Szegö-Type ASD for “Multiplicative Toeplitz” Operators ⋮ Power dilation systems {𝑓(𝑧^{𝑘})}_{𝑘∈ℕ} in Dirichlet-type spaces

Uses Software

• DLMF

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
• Systems of dilated functions: completeness, minimality, basisness
• In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc
• Addendum to: ``A Hilbert space Dirichlet series and systems of dilated functions in \(L_2(0,1)\)
• Approximation by \(\{f(kx)\}\)
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• The Difference Between Consecutive Primes, II
• Diophantine Approximations and Hilbert's Space

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