Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
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Publication:2555603
DOI10.1007/BF01428202zbMath0246.32019MaRDI QIDQ2555603
F. Reese Harvey, Raymond O. jun. Wells
Publication date: 1972
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/162287
Hyperfunctions, analytic functionals (46F15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Levi's problem and the imbedding of real-analytic manifolds
- Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
- Théorie des hyperfonctions
- Holomorphic functions with values in locally convex spaces and applications to integral formulas
- Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
- Approximation Theorems on Differentiable Submanifolds of a Complex Manifold
- The Theory of Hyperfunctions on Totally Real Subsets of a Complex Manifold with Applications to Extension Problems
- INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
- Hölder and Lp estimates for solutions of ∂u = f in strongly pseudoconvex domains
- Holomorphic approximation on totally real submanifolds of a complex manifold