We study the properties of the group Aut(D) of all biholomorphic transformations of a bounded circular domain D in containing the origin. We characterize the set of all possible roots for the Lie algebra of Aut(D). There exists an n-element set P such that any root is of the form α or -α or α-β for suitable α,β ∈ P.
@article{bwmeta1.element.bwnjournal-article-apmv55z1p269bwm,
author = {Jan M. Myszewski},
title = {On roots of the automorphism group of a circular domain in $$\mathbb{C}$^n$
},
journal = {Annales Polonici Mathematici},
volume = {55},
year = {1991},
pages = {269-276},
zbl = {0762.32015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p269bwm}
}
Jan M. Myszewski. On roots of the automorphism group of a circular domain in $ℂ^n$
. Annales Polonici Mathematici, Tome 55 (1991) pp. 269-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p269bwm/
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