Cyclicity in the Dirichlet space

DOI10.1007/s11512-005-0008-zzbMath1171.30026OpenAlexW2046009586MaRDI QIDQ1005718

Thomas Ransford, Omar El-Fallah, Karim Kellay

Publication date: 9 March 2009

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

Full work available at URL: https://doi.org/10.1007/s11512-005-0008-z

zbMATH Keywords

Dirichlet spacecyclic vectorspectral syntesisBergman-Smirnov exceptional set

Mathematics Subject Classification ID

Dirichlet forms (31C25) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (20)

Cyclicity and invariant subspaces in Dirichlet spaces ⋮ Weak embedding property, inner functions and entropy ⋮ Fine boundary behavior and invariant subspaces of harmonically weighted Dirichlet spaces ⋮ On zero sets in the Dirichlet space ⋮ Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces ⋮ Extremal functions and invariant subspaces in Dirichlet spaces ⋮ A note on cyclic vectors in \(\mathcal{Q}_p\) space ⋮ Level sets and composition operators on the Dirichlet space ⋮ Cyclicity in Dirichlet Spaces ⋮ Cyclic vectors in the weighted VMOA space ⋮ Approximation in spaces of analytic functions ⋮ Cyclicity in reproducing kernel Hilbert spaces of analytic functions ⋮ Cyclicity in Dirichlet type spaces ⋮ Interpolation with functions in the analytic Wiener algebra ⋮ Remark on cyclic vectors in the Dirichlet space ⋮ Cyclicity in \(\ell^{p}\) spaces and zero sets of the Fourier transforms ⋮ Blaschke products and zero sets in weighted Dirichlet spaces ⋮ Closed ideals in some algebras of analytic functions ⋮ On the Brown-Shields conjecture for cyclicity in the Dirichlet space ⋮ Cyclicity in Dirichlet-type spaces and extremal polynomials

Cites Work

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• A representation formula for the Dirichlet integral
• Tangential boundary behavior of functions in Dirichlet-type spaces
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• Ensembles exceptionnels
• On two problems concerning linear transformations in Hilbert space
• Sets of uniqueness for functions regular in the unit circle
• Cyclic Vectors in the Dirichlet Space
• Some Examples of Cyclic Vectors in the Dirichlet Space
• Invariant Subspaces of the Dirichlet Shift and Pseudocontinuations
• Ideals in Rings of Analytic Functions with Smooth Boundary Values

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