activity
20062026
most citedCyclicity in Dirichlet-type spaces and extremal polynomials

60 citations · 250 across the 26 of their papers we have counts for

collaborators

29 papers

math.CV2026

Stable polynomials and bounded rational functions in the unit ball

Greg Knese, James Eldred Pascoe, Alan Sola

We study polynomials with no zeros on the unit ball in complex Euclidean space with a view toward characterizing when a rational function is bounded on the ball. We give a complete…

math.CA2023

Multipliers for Hardy-Orlicz spaces and applications

Odysseas Bakas, Sandra Pott, Salvador Rodriguez-Lopez +1

Using real-variable methods, we characterise multipliers for general classes of Hardy--Orlicz spaces, unifying and extending several classical results due to Hardy and Littlewood;…

math.FA2023★ 1 cited

Clark measures for rational inner functions II: general bidegrees and higher dimensions

John T. Anderson, Linus Bergqvist, Kelly Bickel +2

We study Clark measures associated with general two-variable rational inner functions (RIFs) on the bidisk, including those with singularities, and with general -variable ration…

math.CV2022

A note on polydegree rational inner functions, slice matrices, and singularities

Alan Sola

We analyze certain compositions of rational inner functions in the unit polydisk with polydegree , , and isolated singularities in $\…

math.DS2021

Dynamics of low-degree rational inner skew-products on

Alan Sola, Ryan Tully-Doyle

We examine iteration of certain skew-products on the bidisk whose components are rational inner functions, with emphasis on simple maps of the form …

math.CV2021★ 3 cited

Local theory of stable polynomials and bounded rational functions of several variables

Kelly Bickel, Greg Knese, James Eldred Pascoe +1

We provide detailed local descriptions of stable polynomials in terms of their homogeneous decompositions, Puiseux expansions, and transfer function realizations. We use this theor…