Szegő coordinates, quadrature domains, and double quadrature domains

DOI10.1007/BF03321788zbMath1232.30009arXiv1003.2195OpenAlexW1986632393MaRDI QIDQ643189

Steven R. Bell, Zachary A. Sylvan, Björn Gustafsson

Publication date: 28 October 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2195

zbMATH Keywords

conformal mappingBergman kernelPoisson kernelBergman coordinatesdouble quadratic domainsSzegö coordinates

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (10)

The Cauchy integral formula, quadrature domains, and Riemann mapping theorems ⋮ Real algebraic geometry of real algebraic Jordan curves in the plane and the Bergman kernel ⋮ Quadrature domains for the Bergman space in several complex variables ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ The adjoint of a composition operator via its action on the Szegő kernel ⋮ The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains ⋮ Ellipses and polynomial-to-polynomial mapping of weighted Szegő projections ⋮ Ruminations on Hejhal's theorem about the Bergman and Szegő kernels ⋮ Just analysis: the Poisson-Szegő-Bergman kernel ⋮ A note on electrified droplets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unique continuation theorems for the \(\bar \partial\)-operator and applications
• The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc
• Application of half-order differentials on Riemann surfaces to quadrature identities for arc-length
• Domains on which analytic functions satisfy quadrature identities
• Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003
• Complexity in complex analysis.
• A distortion theorem for quadratic domains for harmonic functions
• Quadrature identities and the Schottky double
• Quadrature domains and kernel function zipping
• Bergman coordinates
• Density of quadrature domains in one and several complex variables
• Linear combinations of harmonic measures and quadrature domains of signed measures with small supports
• The fundamental role of the Szegö kernel in potential thoery and complex

This page was built for publication: Szegő coordinates, quadrature domains, and double quadrature domains