An extension theorem for regular functions of two quaternionic variables
Complex Variables
2019-11-28 v3
Abstract
For functions of two quaternionic variables that are regular in the sense of Fueter, we establish a result similar in spirit to the Hanges and Tr\`eves theorem. Namely, we show that a ball contained in the boundary of a domain is a propagator of regular extendability across the boundary.
Cite
@article{arxiv.1810.08995,
title = {An extension theorem for regular functions of two quaternionic variables},
author = {Luca Baracco and Martino Fassina and Stefano Pinton},
journal= {arXiv preprint arXiv:1810.08995},
year = {2019}
}
Comments
v3: Final version, to appear in "Journal of Mathematical Analysis and Applications", 10 pages, 1 figure