Extension and approximation of CR functions on tube manifolds
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Publication:4382989
DOI10.1090/S0002-9947-98-02019-4zbMath0903.32005OpenAlexW1538638859MaRDI QIDQ4382989
Roman J. Dwilewicz, André Boivin
Publication date: 24 March 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02019-4
Continuation of analytic objects in several complex variables (32D15) Envelopes of holomorphy (32D10) CR manifolds (32V99)
Related Items (10)
Hartogs extension for generalized tubes in \(\mathbb C^n\) ⋮ The Life and Work of André Boivin ⋮ A Class of FBI Transforms ⋮ A generalization of Bochner's extension theorem to rough tubes ⋮ Tube structures, Hardy spaces and extension of CR distributions ⋮ A universal Cauchy–Riemann function on subsets ofℂn × ℝm ⋮ A proof of Bochner’s tube theorem ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ On the extension of ℎ^{𝑝}-CR distributions defined on rough tubes ⋮ Rotation of wedges of extendability for tubelike CR manifolds of CR dimension 1
Cites Work
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- Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
- Generalization of the ``Edge-of-the-Wedge Theorem
- Global holomorphic approximations of CR functions on CR manifolds
- Hyperbolic polygons and NEC groups
- CR Functions and Tube Manifolds
- Holomorphic approximation of CR functions on tubular submanifolds of ℂ²
- ON SEPARATELY ANALYTIC FUNCTIONS OF SEVERAL VARIABLES AND THEOREMS ON “THE THIN END OF THE WEDGE”
- Orbits of Families of Vector Fields and Integrability of Distributions
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