Integral representation formulas on analytic varieties
type: Item
instance of: scholarly article
title: Integral representation formulas on analytic varieties
zbMATH Open document ID: 0591.32003
author: T. Hatziafratis
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let D a pseudoconvex domain with smooth boundary, \(h_ 1,h_ 2,...,h_ m\), \(m<n\), holomorphic functions in U, \(\bar D\subset U\), \(V:=\{z\in U:\quad h_ i(z)=0,\quad i=1,...,m\},\) \(M=V\cap D\), \(\partial M=V\cap \partial D\). The author derives integral representation formulas for holomorphic functions on M. These formulas generalize the Cauchy- Fantappiè formula, the Weil formula \((m=0)\), and Stout formula \((m=1)\).
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32A10
Mathematics Subject Classification ID: 32T99
zbMATH DE Number: 3948707
zbMATH Keywords: Weil formula for analytic polyhedra
zbMATH Keywords: pseudoconvex domain
zbMATH Keywords: integral representation formulas for holomorphic functions
zbMATH Keywords: Cauchy-Fantappiè formula
zbMATH Keywords: Stout formula
reviewed by: S. F. Krendelev
MaRDI profile type: Publication
full work available at URL: pjm.1986.123.71
OpenAlex ID: W1966546215
DOI: 10.2140/PJM.1986.123.71
description: scientific article; zbMATH DE number 3948707