Cyclic polynomials in anisotropic Dirichlet spaces

DOI10.1007/s11854-019-0014-xzbMath1432.32005arXiv1512.04871OpenAlexW2963081524WikidataQ128194415 ScholiaQ128194415MaRDI QIDQ2330775

Thomas Ransford, Łukasz Kosiński, Greg Knese, Alan A. Sola

Publication date: 23 October 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04871

zbMATH Keywords

shift operatorcyclic vectorsanalytic functions on the bidiskDirichlet spaces of analytic functions

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (6)

Optimal approximants and orthogonal polynomials in several variables ⋮ A note on cyclic vectors in Dirichlet-type spaces in the unit ball of ⋮ Cyclic polynomials in Dirichlet-type spaces in the unit ball of \(\mathbb{C}^2\) ⋮ Cyclicity in the Drury-Arveson space and other weighted Besov spaces ⋮ Cyclic vectors, outer functions and Mahler measure in two variables ⋮ A survey of optimal polynomial approximants, applications to digital filter design, and related open problems

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