Cyclic phenomena for composition operators:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Soc.
1997
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
596 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 125, Number 596 (second of 5 numbers) |
| Beschreibung: | IX, 105 S. graph. Darst. |
| ISBN: | 0821806300 |
Internformat
MARC
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| 245 | 1 | 0 | |a Cyclic phenomena for composition operators |c Paul S. Bourdon ; Joel H. Shapiro |
| 264 | 1 | |a Providence, RI |b American Mathematical Soc. |c 1997 | |
| 300 | |a IX, 105 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | Contents
Introduction 1
Cyclicity 2
Cyclicity and Iteration 2
Linear Fractional Classification of Arbitrary Maps 5
Transference 10
The Intertwining Map a 12
1 Preliminaries 14
The Space H2 14
Angular Derivatives 16
Cyclicity and Univalence 18
Hypercyclicity Basics . 21
2 Linear Fractional Composition Operators 23
Linear Fractional Basics 23
Cyclicity: First Observations 24
The Main Theorem . . 25
Remarks on Extreme Behavior 36
3 Linear Fractional Models 39
First Applications of Transference 41
Cyclicity and Fixed Point Position 44
4 The Hyperbolic and Parabolic Models 47
Expansions About the Denjoy Wolff Point .............. 50
Consequences for Parabolic Type 52
The Hyperbolic Case . 57
The Parabolic Case 62
Consequences of The Parabolic Models Theorem 64
Motivation for the Proof 68
Estimates on Orbit Magnitudes 70
Proof of the Parabolic Models Theorem 74
viii Contents
5 Cyclicity: Parabolic Nonautomorphism Case 89
Applying the Parabolic Model 90
A Cyclic Vector for Cv 91
6 Endnotes 97
Orbit Separation and Parabolic Subtype 97
Less Differentiability 98
Parther Directions 99
Acknowledgment 101
References 102
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:07:47Z |
| institution | BVB |
| isbn | 0821806300 |
| language | English |
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| physical | IX, 105 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | American Mathematical Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Bourdon, Paul S. Verfasser (DE-588)17417229X aut Cyclic phenomena for composition operators Paul S. Bourdon ; Joel H. Shapiro Providence, RI American Mathematical Soc. 1997 IX, 105 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 596 Volume 125, Number 596 (second of 5 numbers) Operadores (analise funcional) larpcal Operatortheorie gtt Composition operators Kompositionsoperator (DE-588)4236426-7 gnd rswk-swf Kompositionsoperator (DE-588)4236426-7 s DE-604 Shapiro, Joel H. Verfasser (DE-588)1106286227 aut American Mathematical Society: Memoirs of the American Mathematical Society 596 (DE-604)BV008000141 596 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007607297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bourdon, Paul S. Shapiro, Joel H. Cyclic phenomena for composition operators American Mathematical Society: Memoirs of the American Mathematical Society Operadores (analise funcional) larpcal Operatortheorie gtt Composition operators Kompositionsoperator (DE-588)4236426-7 gnd |
| subject_GND | (DE-588)4236426-7 |
| title | Cyclic phenomena for composition operators |
| title_auth | Cyclic phenomena for composition operators |
| title_exact_search | Cyclic phenomena for composition operators |
| title_full | Cyclic phenomena for composition operators Paul S. Bourdon ; Joel H. Shapiro |
| title_fullStr | Cyclic phenomena for composition operators Paul S. Bourdon ; Joel H. Shapiro |
| title_full_unstemmed | Cyclic phenomena for composition operators Paul S. Bourdon ; Joel H. Shapiro |
| title_short | Cyclic phenomena for composition operators |
| title_sort | cyclic phenomena for composition operators |
| topic | Operadores (analise funcional) larpcal Operatortheorie gtt Composition operators Kompositionsoperator (DE-588)4236426-7 gnd |
| topic_facet | Operadores (analise funcional) Operatortheorie Composition operators Kompositionsoperator |
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