An extension theorem for regular functions of two quaternionic variables

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 Trèves theorem. Namely, we show that a ball contained in the boundary of a domain is a propagator of regular extendability across the boundary.

v3: Final version, to appear in "Journal of Mathematical Analysis and Applications", 10 pages, 1 figure