On a Construction of L. Hua for Positive Reproducing Kernels

2008/08/29 by Steven G. Krantz, Krantz, Steven G.
Computer Science · Mathematics · #32A25 #32A36 #32A40 #Complex Variables (math.CV) #Computer science #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematics #Matrix Theory and Algorithms #math.CV #msc:32A25 #msc:32A36 #msc:32A40

paper · pdf · doi:10.48550/arxiv.0808.4028

openalex publication_date 2008/08/29 · arxiv created 2008/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Kähler manifolds) by Berezin.

Citations

• Hilbert integrals, singular integrals, and Radon transforms I
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains

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