On iterations of Green type integrals for matrix factorizations of the Laplace operator
type: Item
instance of: scholarly article
title: On iterations of Green type integrals for matrix factorizations of the Laplace operator
zbMATH Open document ID: 0873.32016
author: Alexander Shlapunov
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1994-10-10T00:00:00Z
full work available at URL: https://eudml.org/doc/244096
review text: Summary: Convergence of special Green integrals for matrix factorization of the Laplace operator in \(\mathbb{R}^n\) is proved. Explicit formulae for solutions of the \(\overline{\partial}\)-equation in strictly pseudo-convex domains in \(\mathbb{C}^n\) are obtained.
Mathematics Subject Classification ID: 32V05
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 650739
zbMATH Keywords: differential operator with injective symbol
zbMATH Keywords: Dolbeault complex
zbMATH Keywords: Green integrals
zbMATH Keywords: matrix factorization
zbMATH Keywords: Laplace operator
zbMATH Keywords: \(\overline{\partial}\)-equation
zbMATH Keywords: strictly pseudo-convex domains
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 650739