Semigroups in geometrical function theory /

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Bibliographic Details
Author / Creator:Shoiykhet, David, 1953-
Imprint:Dordrecht ; Boston : Kluwer Academic Publishers, c2001.
Description:xii, 222 p. : ill. ; 25 cm.
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4563535
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ISBN:0792371119 (alk. paper)
Notes:Includes bibliographical references (p. 205-215) and index.

MARC

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245 1 0 |a Semigroups in geometrical function theory /  |c by David Shoikhet. 
260 |a Dordrecht ;  |a Boston :  |b Kluwer Academic Publishers,  |c c2001. 
300 |a xii, 222 p. :  |b ill. ;  |c 25 cm. 
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338 |a volume  |b nc  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/nc 
504 |a Includes bibliographical references (p. 205-215) and index. 
505 0 0 |g 1.  |t The Wolff-Denjoy theory on the unit disk --  |g 1.1.  |t Schwarz-Pick Lemma and automorphisms --  |g 1.2.  |t Boundary behavior of holomorphic self-mappings --  |g 1.3.  |t Fixed points of holomorphic self-mappings --  |g 1.4.  |t Fixed point free holomorphic self-mappings of [Delta]. The Denjoy-Wolff Theorem --  |g 1.5.  |t Commuting family of holomorphic mappings of the unit disk --  |g 2.  |t Hyperbolic geometry on the unit disk and fixed points --  |g 2.1.  |t The Poincare metric on [Delta] --  |g 2.2.  |t Infinitesimal Poincare metric and geodesics --  |g 2.3.  |t Compatibility of the Poincare metric with convexity --  |g 2.4.  |t Fixed points of [rho]-nonexpansive mappings on the unit disk --  |g 3.  |t Generation theory on the unit disk --  |g 3.1.  |t One-parameter continuous semigroup of holomorphic and [rho]-nonexpansive self-mappings --  |g 3.2.  |t Infinitesimal generator of a one-parameter continuous semigroup --  |g 3.3.  |t Nonlinear resolvent and the exponential formula --  |g 3.4.  |t Monotonicity with respect to the hyperbolic metric --  |g 3.5.  |t Flow invariance conditions for holomorphic functions --  |g 3.6.  |t The Berkson-Porta parametric representation of semi-complete vector fields --  |g 4.  |t Asymptotic behavior of continuous flows --  |g 4.1.  |t Stationary points of a flow on [Delta] --  |g 4.2.  |t Null points of complete vector fields --  |g 4.3.  |t Embedding of discrete time group into a continuous flow --  |g 4.4.  |t Rates of convergence of a flow with an interior stationary point --  |g 4.5.  |t A rete of convergence in terms of the Poincare metric --  |g 4.6.  |t Continuous version of the Julia - Wolff - Caratheodory Theorem --  |g 4.7.  |t Lower bounds for [rho]-monotone functions --  |g 5.  |t Dynamical approach to starlike and spirallike functions --  |g 5.1.  |t Generators on biholomorphically equivalent domains --  |g 5.2.  |t Starlike and spirallike functions --  |g 5.3.  |t A generalized Visser - Ostrowski condition and fanlike functions --  |g 5.4.  |t An invariance property and approximation problems --  |g 5.5.  |t Hummel's multiplier and parametric representations of starlike functions --  |g 5.6.  |t A conjecture of Robertson and geometrical characteristics of fanlike functions --  |g 5.7.  |t Converse theorems on starlike, spirallike and fanlike functions --  |g 5.8.  |t Growth estimates for spirallike, starlike and fanlike functions --  |g 5.9.  |t Remarks on Schroeder's equation and the Koenigs embedding property. 
650 0 |a Geometric function theory.  |0 http://id.loc.gov/authorities/subjects/sh85054123 
650 0 |a Semigroups.  |0 http://id.loc.gov/authorities/subjects/sh85119920 
650 7 |a Geometric function theory.  |2 fast  |0 http://id.worldcat.org/fast/fst00940832 
650 7 |a Semigroups.  |2 fast  |0 http://id.worldcat.org/fast/fst01112267 
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927 |t Library of Congress classification  |a QA360 .S58 2001  |l ASR  |c ASR-SciASR  |e SARO  |e CRERAR  |b 60097507  |i 7175643