An interpolation theorem for holomorphic automorphisms of {bf C}^n
classification
🧮 math.CV
keywords
automorphismscertaininterpolationanotherapproximatingautomorphismcircumstancescompact
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We construct automorphisms of $\C^n$ which 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.
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