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Abstract for MSRI Preprint 1996-015

An interpolation theorem for holomorphic automorphisms of ${\Bbb C}^n$

Gregery T. Buzzard and Franc Forstneric

We construct automorphisms of ${\Bbb C}^n$ 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.