Finite Blaschke products: a survey
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
TL;DR
This survey provides an overview of finite Blaschke products, discussing their characterizations, approximation properties, derivatives, zeros, and other related topics in complex analysis.
Contribution
It compiles and summarizes key results and topics related to finite Blaschke products, serving as a comprehensive overview for researchers.
Findings
Characterizations of finite Blaschke products
Approximation theorems for Blaschke products
Geometric localization of zeros
Abstract
A finite Blaschke product is a product of finitely many automorphisms of the unit disk. This brief survey covers some of the main topics in the area, including characterizations of finite Blaschke products, approximation theorems, derivatives and residues of finite Blaschke products, geometric localization of zeros, and selected other topics.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Analytic and geometric function theory