A characterization of linear automorphisms of the Euclidean ball
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 79-85
DOI: 10.4064/ap-72-1-79-85
Abstract
Let B be the open unit ball for a norm on $ℂ^n$. Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^n$. Moreover, in the case of the Euclidean ball