On a characterization of finite Blaschke products
Emmanuel Fricain (ICJ), Javad Mashreghi
TL;DR
This paper investigates how sequences of finite Blaschke products of fixed order converge to rotations, aiming to enhance understanding of their characterization in complex analysis.
Contribution
It provides a new perspective on the convergence behavior of finite Blaschke products, contributing to their theoretical characterization.
Findings
Sequences of finite Blaschke products converge to rotations under certain conditions
Improved understanding of the characterization theorem for finite Blaschke products
Potential applications in complex analysis and geometric function theory
Abstract
We study the convergence of a sequence of finite Blaschke products of a fix order toward a rotation. This would enable us to get a better picture of a characterization theorem for finite Blaschke products.
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Advanced Banach Space Theory