The Szegö projection and the classical objects of potential theory in the plane (Q1179293)

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scientific article; zbMATH DE number 24258
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The Szegö projection and the classical objects of potential theory in the plane
scientific article; zbMATH DE number 24258

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    The Szegö projection and the classical objects of potential theory in the plane (English)
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    26 June 1992
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    The paper is devoted to the classical Dirichlet and Neumann problems on a bounded finitely connected domain with infinitely smooth boundary. Integral forms of the solutions are given; the Cauchy transform and the Szegö projection are used. Some aspects of the Szegö kernel are studied in detail; for example zeros of the Szegö kernel are investigated.
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    Dirichlet problem
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    Neumann problem
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    Hardy spaces
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    Cauchy transform
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    Szegö kernel
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