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On iterations of Green type integrals for matrix factorizations of the Laplace operator

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Publication:1335475
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zbMath0873.32016MaRDI QIDQ1335475

Alexandre A. Shlapunov

Publication date: 10 October 1994

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244096


zbMATH Keywords

Laplace operatorDolbeault complexmatrix factorization\(\overline{\partial}\)-equationstrictly pseudo-convex domainsdifferential operator with injective symbolGreen integrals


Mathematics Subject Classification ID

General theory of partial differential operators (47F05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) CR structures, CR operators, and generalizations (32V05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)


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Spectral decomposition of Green's integrals and existence of \(W^{s,2}\)-solutions of matrix factorizations of the Laplace operator in a ball ⋮ On Iterations of the Green Integrals and their Applications to Elliptic Differential Complexes




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