Quasiconformal mappings and Riemann surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Washington [u.a.]
V. H. Winston & Sons [u.a.]
1979
|
| Series: | Scripta series in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | XII, 319 Seiten |
| ISBN: | 0470266953 |
Staff View
MARC
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| 240 | 1 | 0 | |a Krazikonformnye otobrazkenija i rimanovy poverchnosti |
| 245 | 1 | 0 | |a Quasiconformal mappings and Riemann surfaces |c Samuil L. Krushkal, Academy of Sciences of the USSR, Siberian Branch. Edited by Irvin Kra, SUNY at Stony Brook |
| 264 | 1 | |a Washington [u.a.] |b V. H. Winston & Sons [u.a.] |c 1979 | |
| 300 | |a XII, 319 Seiten | ||
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| 490 | 0 | |a Scripta series in mathematics | |
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Record in the Search Index
| _version_ | 1804116716346671104 |
|---|---|
| adam_text | CONTENTS
Foreword by ix
Preface xi
Chapter 1. General Information 1
§ 1. Certain spaces of functions. Integral operators 1
§2. Quasiconformal mappings of plane regions 5
§3. Riemann surfaces and their fundamental groups ... 14
§4. Discontinuous groups of fractional linear
transformations 19
§5. Quasiconformal mappings of Riemann surfaces ... 26
§6. Marked Riemann surfaces and Teichmuller
spaces 29
§7. Holomorphic and meromorphic differentials on
Riemann surfaces 38
§8. Some Banach spaces of holomorphic quadratic
differentials. The Schwarzian derivative 48
Chapter 2. Basic Extremal Problems in the Theory of
Quasiconformal Mappings of Riemann Surfaces of
Finite Type 53
§ 1. Variational formulas for quasiconformal
mappings 54
v
Vi CONTENTS
§2. Teichmuller s problem. Formulation of the
theorem 62
§3. Variations of a marked Riemann surface 64
§4. Proof of Theorem 2 69
§5. A uniqueness theorem. Homeomorphic embedding
of the space Tg/lj into the Euclidean space Rm ... 79
§6. The problem Bt 86
§7. Mappings of a torus and an annulus. Other
extremal problems 97
Chapter 3. Quasiconformal Mappings with a Given
Boundary Correspondence and Mappings of
Open Riemann Surfaces of Infinite Genus Ill
§ 1. Introductory remarks Ill
§2. Quasiconformal mappings of marked Riemann
surfaces (the general case) 114
§3. An approximation theorem for analytic functions
and applications 124
Chapter 4. Extremal Problems for Conformal and
Quasiconformal Mappings of Plane Regions ... 131
§ 1. The general posing of the problems and
formulation of the theorems 132
§2. A local existence theorem 136
§3. Proof of theorem 1 141
§4. The problem B2. Examples 152
§5. The area method 163
§6. Some estimates of the distortion in the case of
conformal and quasiconformal mappings of a
disk and an annulus. 174
§7. Quasiconformal continuation of extremal
functions in the Class S. Formulation of the
basic theorem 179
§8. Preparatory results 185
§9. Proof of Theorem 12 189
CONTENTS vii
Chapter 5. The Problem of Moduli of Riemann Surfaces . . . 195
§1. Holmorphic embedding of Tgn in C 196
§2. The problem of the moduli and the problem of
the coefficients 204
§3. Some applications 214
§4. Invariant metrics on Teichmuller spaces 225
Chapter 6. Quasiconformal Deformations of Kleinian
Groups 233
§ 1. Extremal problems for quasiconformal
homeomorphisms that are conformal on a part
of a surface 233
§2. An extremal problem 236
§3. Some remarks on Kleinian groups 240
§4. Spaces of Kleinian groups. 245
§5. A local existence theorem 253
§6. Extremal problems for quasiconformal
homeomorphisms compatible with
Kleinian groups 258
Chapter 7. Certain Properties of Kleinian Groups and
Their Deformations 263
§ 1. Auxiliary results 263
§2. Quasiconformal extension of conformal
deformations 271
§3. The space of deformations 277
§4. The stability of Kleinian groups 281
§5. Nonmeasurability of a fundamental set in A(G) . . . 297
Bibliography 303
|
| any_adam_object | 1 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002259219 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:56Z |
| institution | BVB |
| isbn | 0470266953 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001484685 |
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| physical | XII, 319 Seiten |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | V. H. Winston & Sons [u.a.] |
| record_format | marc |
| series2 | Scripta series in mathematics |
| spelling | Kruškalʹ, Samuil L. 1937- Verfasser (DE-588)172198909 aut Krazikonformnye otobrazkenija i rimanovy poverchnosti Quasiconformal mappings and Riemann surfaces Samuil L. Krushkal, Academy of Sciences of the USSR, Siberian Branch. Edited by Irvin Kra, SUNY at Stony Brook Washington [u.a.] V. H. Winston & Sons [u.a.] 1979 XII, 319 Seiten txt rdacontent n rdamedia nc rdacarrier Scripta series in mathematics Aus dem Russ. übers. Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s Quasikonforme Abbildung (DE-588)4199279-9 s DE-604 Kra, Irwin 1937- Sonstige (DE-588)134052498 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kruškalʹ, Samuil L. 1937- Quasiconformal mappings and Riemann surfaces Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| subject_GND | (DE-588)4199279-9 (DE-588)4049991-1 |
| title | Quasiconformal mappings and Riemann surfaces |
| title_alt | Krazikonformnye otobrazkenija i rimanovy poverchnosti |
| title_auth | Quasiconformal mappings and Riemann surfaces |
| title_exact_search | Quasiconformal mappings and Riemann surfaces |
| title_full | Quasiconformal mappings and Riemann surfaces Samuil L. Krushkal, Academy of Sciences of the USSR, Siberian Branch. Edited by Irvin Kra, SUNY at Stony Brook |
| title_fullStr | Quasiconformal mappings and Riemann surfaces Samuil L. Krushkal, Academy of Sciences of the USSR, Siberian Branch. Edited by Irvin Kra, SUNY at Stony Brook |
| title_full_unstemmed | Quasiconformal mappings and Riemann surfaces Samuil L. Krushkal, Academy of Sciences of the USSR, Siberian Branch. Edited by Irvin Kra, SUNY at Stony Brook |
| title_short | Quasiconformal mappings and Riemann surfaces |
| title_sort | quasiconformal mappings and riemann surfaces |
| topic | Quasiconformal mappings Quasikonforme Abbildung (DE-588)4199279-9 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| topic_facet | Quasiconformal mappings Quasikonforme Abbildung Riemannsche Fläche |
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