Linear fractional maps of the unit ball: A geometric study

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Abstract

We classify up to conjugation with automorphisms the linear fractional self-maps of the unit ball of ℂn (n > 1). Then we give some applications of these normal forms to the study of composition operators. © 2002 Elsevier Science (USA).

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Bisi, C., & Bracci, F. (2002). Linear fractional maps of the unit ball: A geometric study. Advances in Mathematics, 167(2), 265–287. https://doi.org/10.1006/aima.2001.2042

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