Quadrature domains and kernel function zipping

DOI10.1007/BF02384780zbMath1093.30006arXivmath/0401264OpenAlexW3104074858MaRDI QIDQ2368539

Steven R. Bell

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401264

zbMATH Keywords

conformal mappingkernel functions

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Kernel functions in one complex variable and applications (30C40)

Related Items (10)

Harmonic balls and the two-phase Schwarz function ⋮ Quadrature domains for the Bergman space in several complex variables ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ The Dirichlet and Neumann and Dirichlet-to-Neumann problems in quadrature, double quadrature, and non-quadrature domains ⋮ The Bergman analytic content of planar domains ⋮ Identification of nodal points of an elastic inclusion in elastic plane ⋮ Szegő coordinates, quadrature domains, and double quadrature domains ⋮ The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc ⋮ Selected topics on quadrature domains ⋮ Density of quadrature domains in one and several complex variables

Cites Work

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• Domains on which analytic functions satisfy quadrature identities
• Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Complexity in complex analysis.
• Finitely generated function fields and complexity in potential theory in the plane
• Quadrature identities and the Schottky double
• The fundamental role of the Szegö kernel in potential thoery and complex
• Bell representations of finitely connected planar domains
• Complexity of the classical kernel functions of potential theory

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