02882nam 2200541 450 991048046870332120170821172011.01-4704-0181-9(CKB)3360000000464780(EBL)3113740(SSID)ssj0000888867(PQKBManifestationID)11483284(PQKBTitleCode)TC0000888867(PQKBWorkID)10866245(PQKB)11008057(MiAaPQ)EBC3113740(PPN)195414780(EXLCZ)99336000000046478020140908h19971997 uy 0engur|n|---|||||txtccrCyclic phenomena for composition operators /Paul S. Bourdon, Joel H. ShapiroProvidence, Rhode Island :American Mathematical Society,1997.©19971 online resource (122 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 125, Number 596"January 1997, Volume 125, Number 596 (second of 5 numbers)."0-8218-0630-0 Includes bibliographical references.""Contents""; ""Introduction""; ""Cyclicity""; ""Cyclicity and Iteration""; """"Linear-Fractional"" Classification of Arbitrary Maps""; ""Transference""; ""The Intertwining Map Ï?""; ""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""""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(α)]""; ""6 Endnotes""; ""Orbit Separation and Parabolic Subtype""; ""Less Differentiability""; ""Further Directions""; ""Acknowledgment""; ""References""Memoirs of the American Mathematical Society ;Volume 125, Number 596.Composition operatorsElectronic books.Composition operators.515/.7246Bourdon Paul59615Shapiro Joel H.MiAaPQMiAaPQMiAaPQBOOK9910480468703321Cyclic phenomena for composition operators2009824UNINA