Inner functions in reproducing kernel spaces

DOI10.1007/978-3-030-14640-5_6zbMath1445.30029arXiv1807.06341OpenAlexW2884414008MaRDI QIDQ2331051

Raymond Cheng, William T. Ross, Javad Mashreghi

Publication date: 24 October 2019

Full work available at URL: https://arxiv.org/abs/1807.06341

zbMATH Keywords

Birkhoff-James orthogonalityzero setsinner functions for operatorsspaces of analytic functions on the disk

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Operators on Hilbert spaces (general) (47B02) Spaces and algebras of analytic functions of one complex variable (30H99) Function theory on the disc (30J99)

Related Items (11)

On the geometry of the multiplier space of \(\ell^p_A\) ⋮ Optimal approximants and orthogonal polynomials in several variables ⋮ Zeros of optimal polynomial approximants in \(\ell_A^p\) ⋮ On the prediction of \(p\)-stationary processes ⋮ Inner functions in weighted Hardy spaces ⋮ Analogues of finite Blaschke products as inner functions ⋮ Inner vectors for Toeplitz operators ⋮ The zero sets of \(\ell^p_A\) are nested ⋮ A Blaschke sequence that is not a zero set for ℓ^{𝑝}_{𝐴} ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ On the failure of canonical factorization in \(\ell_A^p\)

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