A characterization of linear automorphisms of the Euclidean ball
Annales Polonici Mathematici, Tome 72 (1999) no. 1, pp. 79-85
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
Keywords:
automorphism, complex extreme point, totally real, non-pluripolar, Schwarz lemma
@article{10_4064_ap_72_1_79_85,
author = {Hidetaka Hamada and Tatsuhiro Honda},
title = {A characterization of linear automorphisms of the {Euclidean} ball},
journal = {Annales Polonici Mathematici},
pages = {79--85},
year = {1999},
volume = {72},
number = {1},
doi = {10.4064/ap-72-1-79-85},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-72-1-79-85/}
}
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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
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