Journal ArticleDOI
Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudo-konvexen Gebieten
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This article is published in Mathematische Annalen.The article was published on 1970-03-01. It has received 93 citations till now.read more
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The Bergman kernel and biholomorphic mappings of pseudoconvex domains
Journal ArticleDOI
On the Bergman kernel and biholomorphic mappings of pseudoconvex domains
TL;DR: The main idea in proving Theorem 1 is to study the boundary behavior of geodesies in the Bergman metrics of Z>i and D2 as mentioned in this paper, and to use a rather explicit formula for Bergman kernels.
References
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Journal ArticleDOI
Theory of Reproducing Kernels.
TL;DR: In this paper, a short historical introduction is given to indicate the different manners in which these kernels have been used by various investigators and discuss the more important trends of the application of these kernels without attempting, however, a complete bibliography of the subject matter.
Book
Analytic functions of several complex variables
Robert C. Gunning,Hugo Rossi +1 more
TL;DR: The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century after initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable as discussed by the authors.
Book
Analytic functions of several complex variables
Carl Ludwig Siegel,P. T. Bateman +1 more
TL;DR: In this article, the authors discuss the properties of holomorphic functions of complex vectors in more detail, including their properties with respect to their properties in the context of complex vector models.
Book
Espaces vectoriels topologiques
TL;DR: Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique and sans prerequis des mathematiques depuis leurs fondements as discussed by the authors.