Density of disk algebra functions in de Branges-Rovnyak spaces
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Publication:2401341
DOI10.1016/j.crma.2017.07.015zbMath1380.46018arXiv1704.01839OpenAlexW2605597745MaRDI QIDQ2401341
Bartosz Malman, Alexandru Aleman
Publication date: 8 September 2017
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.01839
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Hardy spaces (30H10)
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Hilbert spaces of analytic functions with a contractive backward shift ⋮ Cyclic inner functions in growth classes and applications to approximation problems ⋮ Constructions of some families of smooth Cauchy transforms ⋮ Monotonicity of certain left and right Riemann sums ⋮ On model spaces and density of functions smooth on the boundary ⋮ An abstract approach to approximation in spaces of pseudocontinuable functions ⋮ On the problem of smooth approximations in \(\mathcal{H}(b)\) and connections to subnormal operators
Cites Work
- Constructive approximation in de Branges-Rovnyak spaces
- Invariant subspaces of the shift operator, axiomatic approach
- Beurling's theorem for the Bergman space
- The Hardy Space of a Slit Domain
- Properties of multipliers of Cauchy-Stieltjes integrals and some factorization problems for analytic functions
- Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions
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