On Bergman operators of exponential type
Ali Azzam, Erwin Kreyszig (1981)
Annales Polonici Mathematici
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Ali Azzam, Erwin Kreyszig (1981)
Annales Polonici Mathematici
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Maciej Skwarczyński (1985)
Annales Polonici Mathematici
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Emil J. Straube (1986)
Mathematische Zeitschrift
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So-Chin Chen, E.J. Straube, H. Boas (1988)
Manuscripta mathematica
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Gregor Herbort (1983)
Manuscripta mathematica
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V. Marić (1974)
Publications de l'Institut Mathématique
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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.
M. M. Schiffer (1981)
Annales Polonici Mathematici
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Ewa Ligocka (1998)
Studia Mathematica
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We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be -smoothly extended to the boundary.
Philippe Charpentier, Aline Bonami (1990)
Mathematische Zeitschrift
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Pierre Lelong (1967)
Recherche Coopérative sur Programme n°25
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Steven R. Bell, Harold P. Boas (1981)
Mathematische Annalen
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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.
So-Chin Chen (1993)
Mathematische Zeitschrift
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S. Saitoh (1986)
Matematički Vesnik
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