An interpolation theorem for holomorphic automorphisms of {\bf C}$^n$
Complex Variables
2016-09-06 v1
Abstract
We construct automorphisms of 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.
Cite
@article{arxiv.math/9603210,
title = {An interpolation theorem for holomorphic automorphisms of {\bf C}$^n$},
author = {Gregery T. Buzzard and Franc Forstneric},
journal= {arXiv preprint arXiv:math/9603210},
year = {2016}
}