Finitely generated function fields and complexity in potential theory in the plane

DOI10.1215/S0012-7094-99-09805-8zbMath0948.30015arXivmath/9804060MaRDI QIDQ1974919

Steven R. Bell

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804060

zbMATH Keywords

Bergman kernel\(n\)-connected domainnational function

Mathematics Subject Classification ID

Kernel functions in one complex variable and applications (30C40) Potential theory (31-XX)

Related Items (11)

Quadrature domains and kernel function zipping ⋮ Bell representations of finitely connected planar domains ⋮ A Riemann mapping theorem for two-connected domains in the plane ⋮ Equivalence problem for annuli and Bell representations in the plane ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ The coefficient body of Bell representations of finitely connected planar domains ⋮ Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains ⋮ Conformal mappings from annuli to canonical doubly connected Bell representations ⋮ Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping ⋮ Generalized Ahlfors functions ⋮ Complexity in complex analysis.

Cites Work

• Proper holomorphic correspondences between circular domains
• The Szegö projection and the classical objects of potential theory in the plane
• Various types of orthogonalization
• Proper Holomorphic Mappings that must be Rational
• Complexity of the classical kernel functions of potential theory
• Theta functions, kernel functions, and Abelian integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Finitely generated function fields and complexity in potential theory in the plane