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

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

1996-03-04

arxiv.org/abs/math/9603210v1

Mathematics

Complex Variables

Scientific paper

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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