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Applications of Bergman kernel functions

, 2003
S. Bock, M. I. Falcão, K. Guerlebeck
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Asymptotic of the Bergman kernel on a projective complex manifold

Lu Yu
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Bergman Kernel, Szegö Kernel and Dirichlet Integral

Complex Analysis and Operator Theory, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

International Journal of Mathematics, 1999
Let [Formula: see text] be a Ck-smoothly (with k≥1) bounded pseudoconvex domain and [Formula: see text] denote its Bergman kernel function. In this article the question is investigated, whether the function [Formula: see text] is continuous up to the boundary in the topology of the extended real line [Formula: see text].
Diederich, Klas, Herbort, Gregor
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The Bergman kernel and the green function

Journal of Mathematical Sciences, 1997
See the review in Zbl 0885.32021.
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Bergman Kernel and Bergman Metric

2000
In this chapter we consider general domains in ℂ n . The material discussed is easily available in the literature. Still we give here essentially complete proofs, since we can do it in very concisely and since the results will be used later in several instances.
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Variational Formula for Bergman Kernels

Journal of Mathematical Sciences, 2001
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Weighted Bergman Kernels and Quantization}

Communications in Mathematical Physics, 2002
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