Regularity for The CR Vector Bundle Problem I

Details Regularity for The CR Vector Bundle Problem I Regularity for The CR Vector Bundle Problem I

2009-11-24

arxiv.org/abs/0911.4547v1

Mathematics

Complex Variables

Scientific paper

We give a new solution to the local integrability problem for CR vector
bundles over strictly pseudoconvex real hypersurfaces of dimension seven or
greater. It is based on a KAM rapid convergence argument and avoids the
previous more difficult Nash-Moser methods. The solution is sharp as to
H\"older continuity.

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