The Szegö projection and the classical objects of potential theory in the plane
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Publication:1179293
DOI10.1215/S0012-7094-91-06401-XzbMath0739.31002OpenAlexW1507517380MaRDI QIDQ1179293
Publication date: 26 June 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06401-x
Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (12)
Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane ⋮ Quadrature domains and kernel function zipping ⋮ Unnamed Item ⋮ An improved Riemann mapping theorem and complexity in potential theory ⋮ Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains ⋮ Finitely generated function fields and complexity in potential theory in the plane ⋮ Unnamed Item ⋮ Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping ⋮ Ruminations on Hejhal's theorem about the Bergman and Szegő kernels ⋮ Normal limits in star-invariant subspaces in multiply connected domains ⋮ COMPUTATION OF HANKEL MATRICES IN TERMS OF CLASSICAL KERNEL FUNCTIONS IN POTENTIAL THEORY ⋮ Complexity in complex analysis.
Cites Work
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- Numerical conformal mapping via the Szegö kernel
- The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
- Various types of orthogonalization
- The Cauchy Transform, Potential Theory and Conformal Mapping
- An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
- Schwarz's Lemma and the Szego Kernel Function
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