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An interpolation theorem for holomorphic automorphisms ofC n |
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| Authors: | Gregery T. Buzzard Franc Forstneric |
| Affiliation: | (1) Department of Mathematics, Indiana University, 47405 Bloomington, IN;(2) Department of Mathematics, University of Wisconsin, 53706-1388 Madison, WI |
| Abstract: | 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. |
| Keywords: | KeywordHeading" >Math Subject Classifications 32H02 32M05 |
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