Fourier-Laplace transforms and the Bergman spaces on tube domains

S. Saitoh

Displaying similar documents to “Fourier-Laplace transforms and the Bergman spaces on tube domains”

Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

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We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.

The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger (1998)

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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.

Bergman completeness of complete circular domains

M. Jarnicki, P. Pflug (1989)

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Bergman coordinates

Steven R. Bell (2006)

Studia Mathematica

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Various incarnations of Stefan Bergman's notion of representative coordinates will be given that are useful in a variety of contexts. Bergman wanted his coordinates to map to canonical regions, but they fail to do this for multiply connected regions. We show, however, that it is possible to define generalized Bergman coordinates that map multiply connected domains to quadrature domains which satisfy a long list of desirable properties, making them excellent candidates to be called Bergman...

Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.

Sanghyun Cho (1996)

Mathematische Zeitschrift

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An application of Bergman-Whittaker operator

V. Marić (1974)

Publications de l'Institut Mathématique

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Domains with Finite Dimensional Bergman Space.

Wiegerinck, Jan J.O.O. (1984)

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Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.

Harold P. Boas, Emil J. Straube (1989)

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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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Bergman function, Genchev transform and L²-angles, for multidimensional tubes

Hyb Wojciech

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CONTENTS1. Introduction.......................................................................................................52. Basic definitions, notations and facts................................................................63. Definitions of the Genchev transform................................................................84. Basic properties of the Genchev transform......................................................115. Some properties of the weight $w_{B}$ ..............................................................166....

Stefan Bergman (1895--1977) in Memoriam

M. M. Schiffer (1981)

Annales Polonici Mathematici

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

Joe Kamimoto (1998)

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Non-Vanishing of the Bergman Kernel Function at Boundary Points of Certain Domains in Cn .

Steven R. Bell (1979)

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Estimates for the Bergman kernel and metric of convex domains in ℂⁿ

Nikolai Nikolov, Peter Pflug (2003)

Annales Polonici Mathematici

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Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.