A note on cyclic polynomials in polydiscs
type: Item
instance of: scholarly article
title: A note on cyclic polynomials in polydiscs
zbMATH Open document ID: 1404.32009
author: Linus Bergqvist
published in: Analysis and Mathematical Physics
publication date: 2018-08-29T00:00:00Z
review text: The author studies cyclicity properties of polynomials in Dirichlet-type spaces on polydiscs. The results depend strongly on the location of the zeros of these polynomials and the number of variables. The case of 3 variables is analyzed in greater detail. The methods used mostly stem from harmonic and potential analysis. It seems strange to the reviewer that the paper appeared in a journal on Mathematical Physics. A relation to physics is not apparent.
reviewed by: Raymond Mortini
Mathematics Subject Classification ID: 32A37
Mathematics Subject Classification ID: 47A16
zbMATH DE Number: 6928653
zbMATH Keywords: Dirichlet-type spaces
zbMATH Keywords: cyclic vectors, polynomials
MaRDI profile type: Publication
full work available at URL: s13324-018-0211-2
OpenAlex ID: W2791088712
cites work: Cyclicity in Dirichlet-type spaces and extremal polynomials II: Functions on the bidisk
cites work: Cyclic polynomials in two variables
cites work: Cyclic Vectors in the Dirichlet Space
cites work: A Primer on the Dirichlet Space
cites work: Möbius-invariant Hilbert spaces in polydiscs
cites work: Q4001976
cites work: Q4328334
cites work: Q3142876
DOI: 10.1007/S13324-018-0211-2
description: scientific article; zbMATH DE number 6928653