Möbius transformations, the Carathéodory metric, and the objects of complex analysis and potential theory in multiply connected domains
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Publication:1411312
DOI10.1307/mmj/1060013201zbMath1039.30003arXivmath/0203280OpenAlexW1973338713MaRDI QIDQ1411312
Publication date: 27 October 2003
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0203280
General theory of conformal mappings (30C35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Kernel functions in one complex variable and applications (30C40)
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- The Szegö projection and the classical objects of potential theory in the plane
- Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
- Finitely generated function fields and complexity in potential theory in the plane
- The fundamental role of the Szegö kernel in potential thoery and complex
- Complexity of the classical kernel functions of potential theory
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