Skip to main content
Log in

An interpolation theorem for holomorphic automorphisms ofC n

  • Published:
The Journal of Geometric Analysis Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chirka, E.Complex Analytic Sets. Kluwer, Dordrecht, 1989.

    MATH  Google Scholar 

  2. Forstneric, F. Holomorphic automorphism groups of Cn: A survey. The Proceedings Complex Analysis and Geometry, Ancona, V., Ballico, E., Silva, A., Eds., 173–200,Lecture Notes in Pure and Appl. Math.,173, Marcel-Dekker, New York, (1996).

    Google Scholar 

  3. Forstneric, F. Interpolation by holomorphic automorphisms and embeddings in Cn,J. Geom. Anal,9, 93–118, (1999).

    MathSciNet  MATH  Google Scholar 

  4. Hörmander, L.An Introduction to Complex Analysis in Several Variables, 3rd ed., North Holland, Amsterdam, 1990.

    MATH  Google Scholar 

  5. Rosay, J.-P. and Rudin, W. Holomorphic maps from Cn to Cn,Trans. Am. Math. Soc,310, 47–86, (1988)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buzzard, G.T., Forstneric, F. An interpolation theorem for holomorphic automorphisms ofC n . J Geom Anal 10, 101–108 (2000). https://doi.org/10.1007/BF02921807

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02921807

Math Subject Classifications

Key Words and Phrases

Navigation