On some polynomially convex maximal real submanifolds in \(\mathbb C^{2n }\) and a related Riemann-Hilbert problem

DOI10.1016/j.jmaa.2009.03.001zbMath1173.32015OpenAlexW2040169341MaRDI QIDQ1023010

Matej Zajec

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.001

zbMATH Keywords

Riemann-Hilbert problempolynomial convexityanalytic disc

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (1)

Polynomial convexity and polynomial approximations of certain sets in \(\mathbb{C}^{2n}\) with non-isolated CR-singularities

Cites Work

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• Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\)
• Un exemple de disque polynômialement convexe. (An example of a polynomially convex disc)
• Approximation by polynomials in two complex variables
• Perturbation by analytic discs along maximal real submanifolds of \(C^ N\)
• Regularity of discs attached to a submanifold of \(\mathbb{C}^n\)
• Perturbing analytic discs attached to maximal real submanifolds of \(\mathbb{C}^ N\)
• Analytic discs attached to a generating CR-manifold
• Polynomially and rationally convex sets
• REGULARITY OF THE BOUNDARIES OF ANALYTIC SETS
• Approximation by polynomials in two diffeomorphisms
• STATIONARY DISCS OF FIBRATIONS OVER THE CIRCLE
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.

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