Inner functions and zero sets for ℓ^{𝑝}_{𝐴}

DOI10.1090/tran/7675zbMath1445.30030arXiv1802.04646OpenAlexW2963169566MaRDI QIDQ4967315

William T. Ross, Raymond Cheng, Javad Mashreghi

Publication date: 3 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04646

zbMATH Keywords

inner functionszero sets

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Banach spaces of continuous, differentiable or analytic functions (46E15) Inner functions of one complex variable (30J05)

Related Items (9)

On the geometry of the multiplier space of \(\ell^p_A\) ⋮ Zeros of optimal polynomial approximants in \(\ell_A^p\) ⋮ On the prediction of \(p\)-stationary processes ⋮ Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem ⋮ Analogues of finite Blaschke products as inner functions ⋮ Polynomial approach to cyclicity for weighted \(\ell^p_A\) ⋮ The zero sets of \(\ell^p_A\) are nested ⋮ A Blaschke sequence that is not a zero set for ℓ^{𝑝}_{𝐴} ⋮ On the failure of canonical factorization in \(\ell_A^p\)

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