A characterization of linear automorphisms of the Euclidean ball
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 79-85.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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
DOI : 10.4064/ap-72-1-79-85
Keywords: automorphism, complex extreme point, totally real, non-pluripolar, Schwarz lemma

Hidetaka Hamada 1 ; Tatsuhiro Honda 1

1
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Hidetaka Hamada; Tatsuhiro Honda. A characterization of linear automorphisms of the Euclidean ball. Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 79-85. doi : 10.4064/ap-72-1-79-85. http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-79-85/

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