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Titlebook: Reproducing Kernels and their Applications; Saburou Saitoh,Daniel Alpay,Takeo Ohsawa Book 1999 Springer Science+Business Media Dordrecht 1

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Holomorphic Factorization of Matrices of Polynomials,proof of a generalization of the main result from [CD1]. Some new examples and applications appear here as well. The idea is to use the Bergman kernel function and some operator theory to prove purely algebraic theorems about matrices of polynomials.
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Holomorphic Factorization of Matrices of Polynomials,on bundles over certain complex manifolds. It presents a simpler proof of a special case of the main result in [CD3], providing also a self-contained proof of a generalization of the main result from [CD1]. Some new examples and applications appear here as well. The idea is to use the Bergman kernel
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Asymptotic Behaviour of Reproducing Kernels, Berezin Quantization and Mean-Value Theorems,ons on Ω square-integrable with respect to the measure . . . dm, where . is the 2n-dimensional Lebesgue measure, . .(.) the reproducing kernel for . . (if it exists), and . the Berezin operator on Ω. In this paper we present some results on the asymptotic behavior of . . and . .,as . → +∞. For insta
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