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Record Nr. |
UNINA9910480468703321 |
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Autore |
Bourdon Paul |
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Titolo |
Cyclic phenomena for composition operators / / Paul S. Bourdon, Joel H. Shapiro |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1997 |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 125, Number 596 |
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Disciplina |
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Soggetti |
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Composition operators |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1997, Volume 125, Number 596 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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