A domain integral equation for the Bergman kernel

DOI10.1007/BF03322030zbMath0921.30006OpenAlexW1975282425MaRDI QIDQ1290400

K. Appert

Publication date: 3 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf03322030

zbMATH Keywords

Bergman kernelSzegő kernelkernel functionsCauchy kernels

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Fredholm integral equations (45B05) Kernel functions in one complex variable and applications (30C40)

Related Items (2)

Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits ⋮ Parallel slits map of bounded multiply connected regions

Cites Work

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• Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
• Numerical conformal mapping via the Szegö kernel
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Numerical conformal mapping via the Bergman kernel
• Introduction to general theory of reproducing kernels
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel

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