Real algebraic geometry of real algebraic Jordan curves in the plane and the Bergman kernel

DOI10.1007/s10476-022-0139-5OpenAlexW4224272186MaRDI QIDQ2151131

Steven R. Bell

Publication date: 30 June 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13160

zbMATH Keywords

Bergman kernelPoisson kernelSchwarz function

Mathematics Subject Classification ID

Kernel functions in one complex variable and applications (30C40)

Related Items (1)

Just analysis: the Poisson-Szegő-Bergman kernel

Cites Work

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• Szegő coordinates, quadrature domains, and double quadrature domains
• The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains
• Application of half-order differentials on Riemann surfaces to quadrature identities for arc-length
• Domains on which analytic functions satisfy quadrature identities
• Quadrature identities and the Schottky double
• The Cauchy Transform, Potential Theory and Conformal Mapping
• Singularities encountered by the analytic continuation of solutions to dirichlet's problem
• Bergman coordinates
• Something about Poisson and Dirichlet

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