Density of quadrature domains in one and several complex variables

DOI10.1080/17476930902759361zbMath1166.30005OpenAlexW2016589595MaRDI QIDQ3625380

Steven R. Bell

Publication date: 12 May 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902759361

zbMATH Keywords

Bergman kernelquadrature domain

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Several complex variables and analytic spaces (32-XX)

Related Items

Quadrature domains for the Bergman space in several complex variables ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains ⋮ A reconstruction method for the inverse gravimetric problem ⋮ Identification of nodal points of an elastic inclusion in elastic plane ⋮ Point source equilibrium problems with connections to weighted quadrature domains ⋮ Lemniscate growth ⋮ Szegő coordinates, quadrature domains, and double quadrature domains ⋮ A 1-point poly-quadrature domain of order 1 not biholomorphic to a complete circular domain ⋮ Quadrature domains in \({{\mathbb C}}^n\)

Cites Work

• Domains on which analytic functions satisfy quadrature identities
• Non-vanishing of the Bergman kernel function at boundary points of certain domains in \(\mathbb{C}^n\)
• Proper holomorphic mappings between circular domains
• Quadrature identities and the Schottky double
• Quadrature domains and kernel function zipping
• Bergman coordinates

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