Asymptotic expansion of the Bergman kernel for strictly pseudoconvex complete Reinhardt domains in \({\mathbb{C}}^ 2\)

DOI10.3792/pjaa.66.39zbMath0704.32008OpenAlexW2040908801MaRDI QIDQ916842

Noriyuki Nakazawa

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.39

zbMATH Keywords

asymptotic expansionBergman kernelReinhardt domainsRamadanov conjecture

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

Version réelle de la conjecture de Ramadanov, The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold, Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces, A Forelli-Rudin construction and asymptotics of weighted Bergman kernels

Cites Work

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• Sur le noyau de Bergman des domaines de Reinhardt
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains