Holomorphic reproducing kernels for piecewise-smooth planar domains

DOI10.1016/j.jmaa.2004.02.048zbMath1070.30016OpenAlexW2093503999MaRDI QIDQ1876736

Michael Bolt

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.048

zbMATH Keywords

Szegő kernelPiecewise-smoothReproducing kernels

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20)

Related Items

The Szegö kernel and oblique projections: conformal mapping of non-smooth regions

Cites Work

• Unnamed Item
• An asymptotic formula for the Bergman projection on a certain class of domains in \({\mathbb{C}}\)
• Numerical conformal mapping via the Szegö kernel
• Numerical computation of the Ahlfors map of a multiply connected planar domain
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Numerical conformal mapping for exterior regions via the Kerzman-Stein kernel
• Conformal mapping of nonsmooth domains via the Kerzman-Stein integral equation
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
• A Fast Algorithm for the Numerical Evaluation of Conformal Mappings