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Article
On Convergence to the Denjoy-Wolff Point
Illinois Journal of Mathematics
  • P. S. Bourdon
  • Valentin Matache, University of Nebraska at Omaha
  • J. H. Shapiro
Document Type
Article
Publication Date
7-1-2005
Disciplines
Abstract

For holomorphic selfmaps of the open unit disc U that are not elliptic automorphisms, the Schwarz Lemma and the Denjoy-Wolff Theorem combine to yield a remarkable result: each such map φ has a (necessarily unique) "Denjoy-Wolff point"...

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This article is re-used with permission. It can be found here: https://urldefense.proofpoint.com/v2/url?u=https- 3A__ijm.math.illinois.edu_&d=DwIDaQ&c=Cu5g146wZdoqVuKpTNsYHeFX_rg6kWhlkLF8Eftwwo& r=S7EB8epEk1CFuroV- 1SLIYLp7rrUX3aKJk4KzFPo77A&m=BJISxzvi1_achLbNZ0IOdzwvYHGWoJGFjtlw- BepqP0&s=UI3B1tlD2dudvW7KVqL_G_sCfjUChhD7HfezQ_07m34&e=

Citation Information
P. S. Bourdon, Valentin Matache and J. H. Shapiro. "On Convergence to the Denjoy-Wolff Point" Illinois Journal of Mathematics Vol. 49 Iss. 2 (2005) p. 405 - 430
Available at: http://works.bepress.com/valentin-matache/10/