Which sets are images of disk‐algebra functions?

DOI10.1002/mana.202200158zbMath1530.30053MaRDI QIDQ6073252

Peter Pflug, Raymond Mortini

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

polynomialswinding numberpolynomial convexitycrosscutsJordan domainslocally connected continuaadmissible compactaimages of disk-algebra functions

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Polynomials and rational functions of one complex variable (30C10) Algebras of analytic functions of one complex variable (30H50)

Cites Work

• Unnamed Item
• Mini-workshop: Complex approximation and universality. Abstracts from the mini-workshop held February 10--16, 2008.
• A characterization of the disk algebra
• Cantor boundary behavior of analytic functions
• Lacunary power series and Peano curves
• Extension Problems and Stable Ranks
• Classical Analysis in the Complex Plane
• On the Self-Intersections of the Image of the Unit Circle Under a Polynomial Mapping