Solving the \(d\)- and \(\overline\partial\)-equations in thin tubes and applications to mappings

DOI10.1307/mmj/1008719779zbMath1016.32018arXivmath/0003149OpenAlexW2057593758MaRDI QIDQ5954604

Erik Løw, Nils Øvrelid, Franc Forstnerič

Publication date: 4 February 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003149

zbMATH Keywords

normal bundle\(d\)- and \(\overline{\partial}\)-equationsapproximation of biholomorphic mappings by automorphisms of \({\mathbb C}^n\)approximation of forms on tube neighborhoodspolynomially convex isotopiessymplectic holomorphic mapstotally real submanifolds

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Extension of functions and other analytic objects from CR manifolds (32V25) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

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