Holomorphic Extension and Decomposition from a Totally Real Manifold

DOI10.2307/2154206zbMath0784.32004OpenAlexW4256358896MaRDI QIDQ3141839

Zaifei Ye

Publication date: 28 November 1993

Full work available at URL: https://doi.org/10.2307/2154206

zbMATH Keywords

hyperfunctionCR-structure\(\overline\partial\)-problemtotally real submanifoldboundary values of holomorphic functions

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Hyperfunctions (32A45)

Cites Work

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• Un théorème de dualité
• Formes différentielles et cohomologie sur une variété analytique complexe
• Microlocal hypo-analyticity and extension of CR functions
• CR structures with group action and extendability of CR functions
• Normal forms for generic manifolds and holomorphic extension of CR functions
• Fundamental solutions in complex analysis. I. The Cauchy Riemann operator
• Integral representation of an analytic functional
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Théorie des hyperfonctions
• Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
• Uniform estimates for the \(\bar\partial\)-equation on domains with piecewise smooth strictly pseudoconvex boundaries
• On the extension of CR-functions
• A Propos De "Wedges" et D' "Edges et de Prolongements Holomorphes
• Extension of holomorphic functions in generic wedges and their wave front sets
• The Theory of Hyperfunctions on Totally Real Subsets of a Complex Manifold with Applications to Extension Problems