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- W107449654 abstract "The classical theorem concerning the iteration of analytic functions mapping Δ = {|z| < 1} into itself is due to Wolff [8, 9] and Denjoy [2]. It states that if such a function f does not have a fixed point in Δ, then (mathop {(f^{[n]} )}nolimits_0^infty ), the sequence of iterates of f, tends to a point ζ of the unit circumference and, in addition, $$ Re left[frac{zeta + f(z)}{zeta - f(z)}right] geq Re left(frac{zeta + z}{zeta - z}right), quad |z|<1. $$ (1.1) KeywordsRiemann SurfaceFinite OrderCompact Riemann SurfaceUnique Fixed PointIdeal BoundaryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W107449654 date "1988-01-01" @default.
- W107449654 modified "2023-09-25" @default.
- W107449654 title "A Theorem of Wolff-Denjoy Type" @default.
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- W107449654 doi "https://doi.org/10.1007/978-3-0348-9158-5_7" @default.
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