Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in ${\bf C}^2$

Joe Kamimoto

Displaying similar documents to “Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in $𝐂^{2}$ ”

The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger (1998)

Annales Polonici Mathematici

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We compute the Bergman kernel functions of the unbounded domains $Ω_{p} = (z^{'}, z) \in ℂ ² : z > p (z^{'})$ , where $p (z^{'}) = {| z^{'} |}^{α} / α$ . It is also shown that these kernel functions have no zeros in $Ω_{p}$ . 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.

The Bergman kernel on certain weakly pseudoconvex domains.

N. Watts Gebelt (1995)

Mathematische Zeitschrift

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On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Remarks on the Bergman kernel function of a worm domain

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 $C^{\infty}$ -smoothly extended to the boundary.