Extension results for slice regular functions of a quaternionic variable

In this paper we prove a new Representation Formula for slice regular functions, which shows that the value of a slice regular function f at a point q = x + y I can be recovered by the values of f at the points q + y J and q + y K for any choice of imaginary units I , J , K . This result allows us t...

Full description

Bibliographic Details

Published in:	Advances in mathematics (New York. 1965) Vol. 222; no. 5; pp. 1793 - 1808
Main Authors:	Colombo, Fabrizio, Gentili, Graziano, Sabadini, Irene, Struppa, Daniele
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.12.2009
Subjects:	Functions of complex variables Functions of hypercomplex variables 30G35 Functions of hypercomplex variables Functions of complex variables
ISSN:	0001-8708, 1090-2082
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!