An interpolation theorem for holomorphic automorphisms ofCn
We construct automorphisms ofCnwhich map certain discrete sequences one onto another with prescribed finite jet at each point, thus solving a general Mittag-Leffler interpolation problem for automorphisms. Under certain circumstances, this can be done while also approximating a given automorphism on a compact set.
Math Subject Classifications32H02 32M05
Key Words and Phrasesinterpolation holomorphic automorphism
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