Document Type
Article
Publication Date
2-12-2016
Originally Published In
Trans. Amer. Math. Soc. 368 (2016), 8737-8754
Abstract
We give a complete characterization of polynomials in two complex variables that are cyclic with respect to the coordinate shifts acting on Dirichlet-type spaces in the bidisk, which include the Hardy space and the Dirichlet space of the bidisk. The cyclicity of a polynomial depends on both the size and nature of the zero set of the polynomial on the distinguished boundary. The techniques in the proof come from real analytic function theory, determinantal representations for polynomials, and harmonic analysis on curves.
ORCID
http://orcid.org/0000-0002-9484-2537 [Knese]
Recommended Citation
Bénéteau, Catherine; Knese, Greg; Kosiński, Łukasz; Liaw, Constanze; Seco, Daniel; and Sola, Alan, "Cyclic polynomials in two variables" (2016). Mathematics Faculty Publications. 37.
https://openscholarship.wustl.edu/math_facpubs/37
Comments
© Copyright 2016 American Mathematical Society Accepted manuscript version of article which was first published in Transactions of the American Mathematical Society in volume 368 (2016), pp. 8737-8754, published by the American Mathematical Society DOI: http://dx.doi.org/10.1090/tran6689