We classify up to conjugation with automorphisms the linear fractional self-maps of the unit ball of C^n (n > 1). Then we give some applications of these normal forms to the study of composition operators.
Linear fractional maps of the unit ball: a geometric study / BISI C.; BRACCI F. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 167:(2002), pp. 265-287. [10.1006/aima.2001.2042]
Linear fractional maps of the unit ball: a geometric study
BRACCI F
2002
Abstract
We classify up to conjugation with automorphisms the linear fractional self-maps of the unit ball of C^n (n > 1). Then we give some applications of these normal forms to the study of composition operators.
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