Hadamard's variational formula for the Bergman kernel

DOI10.3792/pjaa.58.345zbMath0535.32012OpenAlexW2041646024MaRDI QIDQ791000

Gen Komatsu

Publication date: 1982

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.58.345

zbMATH Keywords

Bergman kernel functionHadamard variation

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

A curvature formula associated to a family of pseudoconvex domains ⋮ Hadamard's variational formula for the Szegö kernel

Cites Work

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• The stability of the Bergman kernel and the geometry of the Bergman metric
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems