Approximation of conformal mapping via the Szegő kernel method

DOI10.1007/BF03321026zbMath1057.30037arXiv1307.5363MaRDI QIDQ1884418

Igor E. Pritsker

Publication date: 1 November 2004

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

Full work available at URL: https://arxiv.org/abs/1307.5363

zbMATH Keywords

rate of convergenceorthogonal polynomialsconformal mappingFourier seriesapproximation of conformal mapsconvergence of the Szegö kernel expansion

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Schwarz-Christoffel-type mappings (30C30) Kernel functions in one complex variable and applications (30C40)

Related Items

Approximation properties of Julia polynomials ⋮ Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Convergence of Julia polynomials

Cites Work

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• Polynomial approximation of conformal maps
• Konstruktive Methoden der konformen Abbildung
• FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR
• Sur la représentation conforme des domaines limites par des courbes rectifiables
• Convergence of Bieberbach polynomials in domains with interior cusps

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