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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aCyclic phenomena for composition operators /$fPaul S. Bourdon, Joel H. Shapiro
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1997.
210  4$d©1997
215   $a1 online resource (122 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 125, Number 596
300   $a"January 1997, Volume 125, Number 596 (second of 5 numbers)."
311   $a0-8218-0630-0 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Introduction""; ""Cyclicity""; ""Cyclicity and Iteration""; """"Linear-Fractional"" Classification of Arbitrary Maps""; ""Transference""; ""The Intertwining Map I??""; ""1 Preliminaries""; ""The Space H[sup(2)]""; ""Angular Derivatives""; ""Cyclicity and Univalence""; ""Hypercyclicity Basics""; ""2 Linear-Fractional Composition Operators""; ""Linear-Fractional Basics""; ""Cyclicity: First Observations""; ""The Main Theorem""; ""Remarks on ""Extreme Behavior""""; ""3 Linear-Fractional Models""; ""First Applications of Transference""; ""Cyclicity and Fixed-Point Position""
327   $a""4 The Hyperbolic and Parabolic Models""""Expansions About the Denjoy-Wolff Point""; ""Consequences for Parabolic Type""; ""The Hyperbolic Case""; ""The Parabolic Case""; ""Consequences of The Parabolic Models Theorem""; ""Motivation for the Proof""; ""Estimates on Orbit Magnitudes""; ""Proof of the Parabolic Models Theorem""; ""5 Cyclicity: Parabolic Nonautomorphism Case""; ""Applying the Parabolic Model""; ""A Cyclic Vector for C[sub(I?±)]""; ""6 Endnotes""; ""Orbit Separation and Parabolic Subtype""; ""Less Differentiability""; ""Further Directions""; ""Acknowledgment""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 125, Number 596.
606   $aComposition operators
608   $aElectronic books.
615  0$aComposition operators.
676   $a515/.7246
700   $aBourdon$b Paul$059615
702   $aShapiro$b Joel H.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480468703321
996   $aCyclic phenomena for composition operators$92009824
997   $aUNINA