Cyclic phenomena for composition operators

Cyclic phenomena for composition operators

by Bourdon, Paul

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Title Statements

  • Full title :Cyclic phenomena for composition operators / Paul S. Bourdon, Joel H. Shapiro.

Edition Statements

  • Publication Date:©1997

Publication Statements

Notes

"January 1997, Volume 125, Number 596 (second of 5 numbers)."

The Physical Object

  • Description:1 online resource (122 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470401818, 1470401819
  • oclc:on1097162022
  • LC Classification:QA329.2
  • Dewey Decimal:515/.7246

Table of Contents

""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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Subjects

Composition operators Opérateurs de composition

Writers

Bourdon, Paul Shapiro, Joel H.

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