Lectures on quasiconformal mappings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2006]
|
| Edition: | Second edition |
| Series: | University Lecture Series
Volume 38 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | viii, 162 Seiten Diagramme |
| ISBN: | 9780821836446 0821836447 |
Staff View
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| 100 | 1 | |a Ahlfors, Lars Valerian |d 1907-1996 |e Verfasser |0 (DE-588)104541164 |4 aut | |
| 245 | 1 | 0 | |a Lectures on quasiconformal mappings |c Lars V. Ahlfors. With additional chapters by C. J. Earle and I. Kra, M. Shishikura, J. H. Hubbard |
| 250 | |a Second edition | ||
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2006] | |
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| 650 | 4 | |a Quasiconformal mappings | |
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Record in the Search Index
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| adam_text | Contents
Preface
vii
The Ahlfors Lectures
Acknowledgments
3
Chapter I. Differentiable Quasiconformal Mappings
5
A. The Problem and Definition of
Grötzsch 5
B.
Solution of
Grötzsch s
Problem
8
C. Composed Mappings
8
D. Extremal Length
10
E. A
Symmetry Principle
13
F. Dirichlet Integrals
13
Chapter II. The General Definition
15
A. The Geometric Approach
15
B. The Analytic Definition
16
Chapter III. Extremal Geometric Properties
23
A. Three Extremal Problems
23
B. Elliptic and Modular Functions
25
С
Mori s Theorem
30
D. Quadruplets
34
Chapter IV. Boundary Correspondence
39
A. The M-condition
39
B. The Sufficiency of the M-condition
42
С
Quasi- isometry
45
D. Quasiconformal Reflection
45
E. The Reverse Inequality
49
Chapter V. The Mapping Theorem
51
A. Two Integral Operators
51
B. Solution of the Mapping Problem
54
C. Dependence on Parameters
58
D. The
Calderón-Zygmund
Inequality
62
Chapter VI.
Teichmüller
Spaces
67
A. Preliminaries
67
B. Beltrami Differentials
69
С
Δ
Is Open
73
D. The Infinitesimal
Approach
77
Editors Notes
83
The Additional Chapters
A Supplement to Ahlfors s Lectures
Clifford J. Earle and
Irwin
Kra
87
Complex Dynamics and Quasiconformal Mappings
Mitsuhiro Shishikura
119
Hyperbolic Structures on Three-Manifolds that Fiber over the Circle
John H. Hubbard
143
|
| adam_txt |
Contents
Preface
vii
The Ahlfors Lectures
Acknowledgments
3
Chapter I. Differentiable Quasiconformal Mappings
5
A. The Problem and Definition of
Grötzsch 5
B.
Solution of
Grötzsch's
Problem
8
C. Composed Mappings
8
D. Extremal Length
10
E. A
Symmetry Principle
13
F. Dirichlet Integrals
13
Chapter II. The General Definition
15
A. The Geometric Approach
15
B. The Analytic Definition
16
Chapter III. Extremal Geometric Properties
23
A. Three Extremal Problems
23
B. Elliptic and Modular Functions
25
С
Mori's Theorem
30
D. Quadruplets
34
Chapter IV. Boundary Correspondence
39
A. The M-condition
39
B. The Sufficiency of the M-condition
42
С
Quasi- isometry
45
D. Quasiconformal Reflection
45
E. The Reverse Inequality
49
Chapter V. The Mapping Theorem
51
A. Two Integral Operators
51
B. Solution of the Mapping Problem
54
C. Dependence on Parameters
58
D. The
Calderón-Zygmund
Inequality
62
Chapter VI.
Teichmüller
Spaces
67
A. Preliminaries
67
B. Beltrami Differentials
69
С
Δ
Is Open
73
D. The Infinitesimal
Approach
77
Editors' Notes
83
The Additional Chapters
A Supplement to Ahlfors's Lectures
Clifford J. Earle and
Irwin
Kra
87
Complex Dynamics and Quasiconformal Mappings
Mitsuhiro Shishikura
119
Hyperbolic Structures on Three-Manifolds that Fiber over the Circle
John H. Hubbard
143 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Second edition |
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| index_date | 2024-07-02T15:03:40Z |
| indexdate | 2024-07-09T20:40:52Z |
| institution | BVB |
| isbn | 9780821836446 0821836447 |
| language | English |
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| physical | viii, 162 Seiten Diagramme |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | American Mathematical Society |
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| series | University Lecture Series |
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| spelling | Ahlfors, Lars Valerian 1907-1996 Verfasser (DE-588)104541164 aut Lectures on quasiconformal mappings Lars V. Ahlfors. With additional chapters by C. J. Earle and I. Kra, M. Shishikura, J. H. Hubbard Second edition Providence, Rhode Island American Mathematical Society [2006] © 2006 viii, 162 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier University Lecture Series Volume 38 Applications quasi conformes Complexe variabelen gtt Funções de uma variável complexa larpcal Funções especiais larpcal Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Quasikonforme Abbildung (DE-588)4199279-9 s DE-604 Konforme Abbildung (DE-588)4164968-0 s 1\p DE-604 Earle, C. J. oth Kra, Irwin 1937- (DE-588)134052498 oth Shishikura, M. oth Hubbard, John H. 1946- (DE-588)113172346 oth Erscheint auch als Online-Ausgabe 978-1-4704-1832-8 University Lecture Series Volume 38 (DE-604)BV004153846 38 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014867912&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p |
| spellingShingle | Ahlfors, Lars Valerian 1907-1996 Lectures on quasiconformal mappings University Lecture Series Applications quasi conformes Complexe variabelen gtt Funções de uma variável complexa larpcal Funções especiais larpcal Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd Konforme Abbildung (DE-588)4164968-0 gnd |
| subject_GND | (DE-588)4199279-9 (DE-588)4164968-0 |
| title | Lectures on quasiconformal mappings |
| title_auth | Lectures on quasiconformal mappings |
| title_exact_search | Lectures on quasiconformal mappings |
| title_exact_search_txtP | Lectures on quasiconformal mappings |
| title_full | Lectures on quasiconformal mappings Lars V. Ahlfors. With additional chapters by C. J. Earle and I. Kra, M. Shishikura, J. H. Hubbard |
| title_fullStr | Lectures on quasiconformal mappings Lars V. Ahlfors. With additional chapters by C. J. Earle and I. Kra, M. Shishikura, J. H. Hubbard |
| title_full_unstemmed | Lectures on quasiconformal mappings Lars V. Ahlfors. With additional chapters by C. J. Earle and I. Kra, M. Shishikura, J. H. Hubbard |
| title_short | Lectures on quasiconformal mappings |
| title_sort | lectures on quasiconformal mappings |
| topic | Applications quasi conformes Complexe variabelen gtt Funções de uma variável complexa larpcal Funções especiais larpcal Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd Konforme Abbildung (DE-588)4164968-0 gnd |
| topic_facet | Applications quasi conformes Complexe variabelen Funções de uma variável complexa Funções especiais Quasiconformal mappings Quasikonforme Abbildung Konforme Abbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014867912&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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