The Wolff-Denjoy theory on the unit disk

David Shoikhet
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David Shoikhet: Technion-Israel Institute of Technology, Department of Mathematics

Chapter Chapter 1 in Semigroups in Geometrical Function Theory, 2001, pp 9-37 from Springer

Abstract: Abstract There is a long history associated with the problem on iterating holomorphic mappings and their fixed points, the work of H.A. Schwarz (1869), G. Pick (1916), G. Julia (1920), J. Wolff (1926), A. Denjoy (1926) and C. Carathéodory (1929) being among the most important.

Keywords: Holomorphic Mapping; Unit Disk; Common Fixed Point; Unique Fixed Point; Schwarz Lemma (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-015-9632-9_2

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