The Cauchy and the Szegoe kernels on multiply connected regions

DOI10.1007/BF02849541zbMath0483.30006MaRDI QIDQ1163116

Jacob Burbea

Publication date: 1982

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

chordsCauchy kernelmultiply connected regionsSzegoe kernel

Mathematics Subject Classification ID

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

Related Items (3)

Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions ⋮ A lower estimate for the norm of the Kerzman-Stein operator ⋮ The Kerzman–Stein operator for piecewise continuously differentiable regions

Cites Work

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• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Various types of orthogonalization
• Confromal invariants and function-theoretic null-sets
• An Integral Equation Associated with the Szegö Kernel Function
• Theta functions, kernel functions, and Abelian integrals

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