Work

Characterization of finite shift via Herglotz's representation

Year: 2024

Type: article

Abstract: A complete characterization of parabolic self-maps of finite shift is given in terms of their Herglotz's representation. This improves a previous result due to Contreras, Díaz-Madrigal, and Pommerenke. We also derive some consequences for the rate of convergence of these functions to their Denjoy-Wolff point, improving a related result of Kourou, Theodosiadis, and Zarvalis for the continuous setting.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.128883

Author: Francisco J. Cruz-Zamorano

Institution: Universidad de Sevilla

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funders: Ministerio de Ciencia e Innovación, Ministerio de Universidades