Complexity in complex analysis.

DOI10.1006/aima.2002.2076zbMath1051.30014arXivmath/0201164OpenAlexW2034613891MaRDI QIDQ1865277

Steven R. Bell

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201164

zbMATH Keywords

Green's functionBergman kernelSzegő kernelAhlfors mapGarabedian kernelprimitive pair of meromorphic functions

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Kernel functions in one complex variable and applications (30C40) Covering theorems in conformal mapping theory (30C25)

Related Items (7)

Quadrature domains and kernel function zipping ⋮ A Riemann mapping theorem for two-connected domains in the plane ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ Szegő coordinates, quadrature domains, and double quadrature domains ⋮ The Szegő kernel and proper holomorphic mappings to a half plane ⋮ Generalized Ahlfors functions ⋮ Just analysis: the Poisson-Szegő-Bergman kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique continuation theorems for the \(\bar \partial\)-operator and applications
• Proper holomorphic correspondences between circular domains
• The Szegö projection and the classical objects of potential theory in the plane
• Domains on which analytic functions satisfy quadrature identities
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Finitely generated function fields and complexity in potential theory in the plane
• A converse of Cauchy's theorem and applications to extremal problems
• Hardy classes on Riemann surfaces
• Open Riemann surfaces and extremal problems on compact subregions
• Proper Holomorphic Mappings that must be Rational
• The fundamental role of the Szegö kernel in potential thoery and complex
• Complexity of the classical kernel functions of potential theory

This page was built for publication: Complexity in complex analysis.