A characterization of linear automorphisms of the Euclidean ball

Hamada, Hidetaka; Honda, Tatsuhiro

Annales Polonici Mathematici, Tome 72 (1999), p. 79-85 / Harvested from The Polish Digital Mathematics Library

Résumé

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 , we show that f is a linear automorphism of under this condition.

Publié le : 1999-01-01

Zbl 0961.32002

EUDML-ID : urn:eudml:doc:262853

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     author = {Hamada, Hidetaka and Honda, Tatsuhiro},
     title = {A characterization of linear automorphisms of the Euclidean ball},
     journal = {Annales Polonici Mathematici},
     volume = {72},
     year = {1999},
     pages = {79-85},
     zbl = {0961.32002},
     language = {en},
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Hamada, Hidetaka; Honda, Tatsuhiro. A characterization of linear automorphisms of the Euclidean ball. Annales Polonici Mathematici, Tome 72 (1999) pp. 79-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p79bwm/

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