Hadamard's variational formula for the Szegö kernel
type: Item
instance of: scholarly article
title: Hadamard's variational formula for the Szegö kernel
zbMATH Open document ID: 0592.35007
author: Gen Komatsu
published in: Kodai Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: [Shortened version of the original review]. The note is concerned with the Hadamard's (first) variational formula for the Szegö kernel associated with a strictly pseudoconvex domain in \({\mathbb{C}}^ n\) with \(n\geq 3.\) A similar formula for the Bergman kernel has been given by the author [Proc. Jap. Acad., Ser. A 58, 345-348 (1982; Zbl 0535.32012)].
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 3951060
zbMATH Keywords: Hadamard's variational formula for the Szegö kernel
zbMATH Keywords: strictly pseudoconvex domain
reviewed by: Vikramaditya Singh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037044
OpenAlex ID: W2083900926
cites work: The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
cites work: Schwarz's Lemma and the Szego Kernel Function
cites work: Deformation of complex structures on manifolds with boundary. II: Families of non-coercive boundary value problems
cites work: The Szegö kernel in terms of Cauchy-Fantappie kernels
cites work: Q5552354
cites work: Hadamard's variational formula for the Bergman kernel
cites work: Various types of orthogonalization
DOI: 10.2996/KMJ/1138037044
description: scientific article; zbMATH DE number 3951060