In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc

DOI10.5802/aif.2731zbMath1267.30108OpenAlexW2314553371MaRDI QIDQ1931231

Nikolai Nikolski

Publication date: 25 January 2013

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/445bf71299ca60a7db9d26a64f6e2c48aed0d009

zbMATH Keywords

Hardy spacesRiemann hypothesiscompleteness problemcyclic vectorsdilation semigroupHilbert's multidisc

Mathematics Subject Classification ID

Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Cyclic vectors, hypercyclic and chaotic operators (47A16) Hardy spaces (30H10)

Related Items (18)

Toeplitz operators on the Hardy space over the infinite-dimensional polydisc ⋮ Vector Semi-Fredholm Toeplitz Operators and Mean Winding Numbers ⋮ A correction to “In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc” ⋮ Cyclicity preserving operators on spaces of analytic functions in \(\mathbb{C}^n\) ⋮ Fourier multipliers for weighted \(L^2\) spaces with Lévy-Khinchin-Schoenberg weights ⋮ Binomials whose dilations generate $H^2(\mathbb {D})$ ⋮ A Hardy space analysis of the Báez-Duarte criterion for the RH ⋮ \(\mu\)-Hankel operators on compact abelian groups ⋮ Power dilation systems {𝑓(𝑧^{𝑘})}_{𝑘∈ℕ} in Dirichlet-type spaces ⋮ Spectral asymptotics for a family of LCM matrices ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Systems of dilated functions: completeness, minimality, basisness ⋮ Helson operators and coinvariant subspaces ⋮ A weighted composition semigroup related to three open problems ⋮ Cyclic vectors, outer functions and Mahler measure in two variables ⋮ Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series ⋮ Cyclic polynomials in two variables ⋮ The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk

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