Skip to main content
Article thumbnail
Location of Repository

THE RUNGE THEOREM FOR SLICE HYPERHOLOMORPHIC FUNCTIONS

By Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa

Abstract

In this paper we introduce and study rational slice monogenic functions. After proving a decomposition theorem for such functions, we are able to prove the Runge approximation theorem for slice monogenic functions. We then show how a similar argument can be used to obtain an analogue of the Runge approximation theorem in the slice regular setting

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1335
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ams.org/journals/pr... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.