The Bergman Kernel Function. Differentiability at the Boundary.
Norberto Kerzman (1971)
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Norberto Kerzman (1971)
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Harold P. Boas, StevenR. Bell (1984)
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Steven R. Bell (1979)
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V. Marić (1974)
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Philippe Charpentier, Aline Bonami (1990)
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Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
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Maciej Skwarczyński (1985)
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M. M. Schiffer (1981)
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Harold P. Boas (1980)
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So-Chin Chen (1987)
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Friedrich Haslinger (1998)
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We compute the Bergman kernel functions of the unbounded domains , where . It is also shown that these kernel functions have no zeros in . We use a method from harmonic analysis to reduce the computation of the 2-dimensional case to the problem of finding the kernel function of a weighted space of entire functions in one complex variable.
Piotr Jucha (2004)
Studia Mathematica
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We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.
Wiegerinck, Jan J.O.O. (1984)
Mathematische Zeitschrift
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David E. Barrett (1981)
Mathematische Annalen
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