Note on integral representation of holomorphic functions in several complex variables
type: Item
instance of: scholarly article
title: Note on integral representation of holomorphic functions in several complex variables
zbMATH Open document ID: 0683.32004
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1989-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108151
review text: The author gives a general integral formula of holomorphic functions in several complex variables which contains as examples: 1) the Cauchy-Fantappiè and Bochner-Martinelli universal formula; 2) the Hua-Aizenberg formula on a convex domain and the Henkin-Grauert formula on a strictly pseudoconvex domain and the Look formula on classical domains (based on the construction of a z-holomorphic support function); 3) the Sommer formula on polycylindrical domains.
reviewed by: P.Raboin
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32A07
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 4118699
zbMATH Keywords: integral representation
zbMATH Keywords: holomorphic function
zbMATH Keywords: Cauchy-Fantappiè
zbMATH Keywords: Bochner-Martinelli
zbMATH Keywords: Hua-Aizenberg
zbMATH Keywords: Henkin-Grauert formula
zbMATH Keywords: Look
zbMATH Keywords: Sommer
author: Shu Jin Chen
MaRDI profile type: Publication
cites work: A pseudo-convex domain not admitting a holomorphic support function
cites work: Q3868071
cites work: Q5621558
cites work: Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries
cites work: Über die Integralformeln in der Funktionentheorie mehrerer komplexer Veränderlichen
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description: scientific article; zbMATH DE number 4118699