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On a Construction of L. Hua for Positive Reproducing Kernels

Complex Variables 2008-09-21 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0808.4028,
  title  = {On a Construction of L. Hua for Positive Reproducing Kernels},
  author = {Steven G. Krantz},
  journal= {arXiv preprint arXiv:0808.4028},
  year   = {2008}
}