On a Construction of L. Hua for Positive Reproducing Kernels

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We study a positive reproducing kernel for holomorphic functions on a domain
in a complex space. The technique is based on an idea of L. Hua. Applications
are provided. These ideas were developed in another context (quantization of
K\"{a}hler manifolds) by Berezin.

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