The Bergman Kernel on Uniformly Extendable Pseudoconvex Domains.
Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
Mathematische Annalen
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Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
Mathematische Annalen
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N. Watts Gebelt (1995)
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Ewa Ligocka (1981)
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Steven R. Bell, Harold P. Boas (1981)
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David W. Catlin (1988/89)
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Emil J. Straube (1986)
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So-Chin Chen (1993)
Mathematische Zeitschrift
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Steven R. Bell (1979)
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Friedrich Haslinger (1998)
Annales Polonici Mathematici
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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.
Harold P. Boas, Emil J. Straube (1989)
Mathematische Zeitschrift
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Gregor Herbort (1983)
Manuscripta mathematica
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Wiegerinck, Jan J.O.O. (1984)
Mathematische Zeitschrift
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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.