Boundary jets of holomorphic maps between strongly pseudoconvex domains (Q2426479)

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Boundary jets of holomorphic maps between strongly pseudoconvex domains
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    Boundary jets of holomorphic maps between strongly pseudoconvex domains (English)
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    22 April 2008
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    Let \(D\) and \(D'\) be two bounded strongly pseudoconvex domains in \(\mathbb{C}^{n+1}\). In the paper, the authors initiate a study of holomorphic mappings \(F\) between \(D\) and \(D'\), sending \(D\) to a subset \(F(D)\subset D'\). The problem is treated locally. That is, if \(p\in\partial D\) and \(p'\in\partial D'\) a description of possible germs \(F\) at \(p\) of holomorphic maps from \(D\) to \(D'\) sending \(p\) to \(p'\) in the non-tangential sense is given.
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    Chern-Moser normal forms
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    jets of holomorphic diffeomorphisms
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    self-maps of strongly pseudoconvex domains
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    extremality of maps
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