Stability theorems in geometry and analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Academic Publishers
1994
|
| Ausgabe: | Revised and updated translation |
| Schriftenreihe: | Mathematics and its Applications
304 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russischen übersetzt |
| Beschreibung: | XI, 394 Seiten |
| ISBN: | 0792331184 |
Internformat
MARC
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| 100 | 1 | |a Rešetnjak, Jurij Grigorʹevič |d 1929- |e Verfasser |0 (DE-588)1089148887 |4 aut | |
| 240 | 1 | 0 | |a Teoremy ustojčivosti v geometrii i analize |
| 245 | 1 | 0 | |a Stability theorems in geometry and analysis |c by Yu. G. Reshetnyak, Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russia |
| 250 | |a Revised and updated translation | ||
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Academic Publishers |c 1994 | |
| 300 | |a XI, 394 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its Applications |v 304 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 7 | |a Análise matemática |2 larpcal | |
| 650 | 7 | |a Géométrie différentielle |2 ram | |
| 650 | 7 | |a Stabilité |2 ram | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Stability | |
| 650 | 0 | 7 | |a Liouville-Satz |0 (DE-588)4167786-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stabilität |0 (DE-588)4056693-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804124245541781504 |
|---|---|
| adam_text | Contents
Foreword to the English Translation vii
Preface to the First Russian Edition ix
Chapter 1. Introduction
1. Preliminaries, Notation, and Terminology 1
2. Orthogonal, Mobius, and Pseudo Orthogonal Transformations . 10
3. A Survey of the Content and Statement of the Main Results .. 18
Chapter 2. Mobius Transformations
1. Hypersphere Bundle and Linear Representations of Mobius
Transformations 63
2. Differential Geometric Characterisation of Motions and Mobius
Transformations 77
3. Topologies on Groups of Mobius Transformations. Infinitesimal
Operators for Groups of Mobius Transformations. Infinitesimal
Operators for Groups of Mobius Transformations 83
4. Proof of Liouville s Theorem Under Minimal Hypotheses on
Smoothness 87
Chapter 3. Integral Representations and Estimates for
Differentiable Functions
1. Representations of Functions by Means of Operators Enjoying the
Condition of Complete Integrability 106
2. Integral Representations by Means of Special Differential
Operators 129
3. Some Estimates for Operators Qi and Q2 145
4. Some Classes of Domains in R 156
5. Some Auxiliary Function Classes 175
6. Integral Representations of Differentiable Functions in Domains
with Nonsmooth Boundary 194
vi Contents
Chapter 4. Stability in Liouville s Theorem on Conformal
Mappings in Space
1. Mappings with Bounded Distortion 204
2. A Preliminary Theorem on Stability in Liouville s Theorem ... 237
3. Local Estimates for Stability in Liouville s Theorem 273
4. Global Stability in Liouville s Theorem 283
5. Additional Remarks 295
Chapter 5. Stability of Isometric Transformations
of the Space R
1. Stability with Respect to the Uniform Norm 300
2. Stability Estimates for Isometric Transformations in the
Class W 318
Chapter 6. Stability in Darboux s Theorem
1. Principal Results 336
2. Proofs of Theorems 1.1 1.3 343
Chapter 7. Differential Properties of Mappings with Bounded
Distortion and Conformal Mappings of Riemannian
Spaces
1. Formulation of Results and Auxiliary Facts 356
2. Proof of Theorem 1.1 365
3. Proof of Theorem 1.2 373
4. The Image of a Submanifold Under a Mapping Conformal at the
Points of the Submanifold 378
References 383
Subject Index 392
|
| any_adam_object | 1 |
| author | Rešetnjak, Jurij Grigorʹevič 1929- |
| author_GND | (DE-588)1089148887 |
| author_facet | Rešetnjak, Jurij Grigorʹevič 1929- |
| author_role | aut |
| author_sort | Rešetnjak, Jurij Grigorʹevič 1929- |
| author_variant | j g r jg jgr |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 SK 700 SK 750 SK 320 |
| ctrlnum | (OCoLC)31010088 (DE-599)BVBBV009887066 |
| dewey-full | 516.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Revised and updated translation |
| format | Book |
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| id | DE-604.BV009887066 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:42:36Z |
| institution | BVB |
| isbn | 0792331184 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006546842 |
| oclc_num | 31010088 |
| open_access_boolean | |
| owner | DE-12 DE-824 DE-703 DE-634 DE-11 DE-188 |
| owner_facet | DE-12 DE-824 DE-703 DE-634 DE-11 DE-188 |
| physical | XI, 394 Seiten |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Kluwer Academic Publishers |
| record_format | marc |
| series | Mathematics and its Applications |
| series2 | Mathematics and its Applications |
| spelling | Rešetnjak, Jurij Grigorʹevič 1929- Verfasser (DE-588)1089148887 aut Teoremy ustojčivosti v geometrii i analize Stability theorems in geometry and analysis by Yu. G. Reshetnyak, Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russia Revised and updated translation Dordrecht [u.a.] Kluwer Academic Publishers 1994 XI, 394 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematics and its Applications 304 Aus dem Russischen übersetzt Análise matemática larpcal Géométrie différentielle ram Stabilité ram Geometry, Differential Stability Liouville-Satz (DE-588)4167786-9 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Stabilität (DE-588)4056693-6 s DE-604 Konforme Abbildung (DE-588)4164968-0 s Liouville-Satz (DE-588)4167786-9 s Mathematics and its Applications 304 (DE-604)BV008163334 304 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006546842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rešetnjak, Jurij Grigorʹevič 1929- Stability theorems in geometry and analysis Mathematics and its Applications Análise matemática larpcal Géométrie différentielle ram Stabilité ram Geometry, Differential Stability Liouville-Satz (DE-588)4167786-9 gnd Stabilität (DE-588)4056693-6 gnd Konforme Abbildung (DE-588)4164968-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4167786-9 (DE-588)4056693-6 (DE-588)4164968-0 (DE-588)4012248-7 |
| title | Stability theorems in geometry and analysis |
| title_alt | Teoremy ustojčivosti v geometrii i analize |
| title_auth | Stability theorems in geometry and analysis |
| title_exact_search | Stability theorems in geometry and analysis |
| title_full | Stability theorems in geometry and analysis by Yu. G. Reshetnyak, Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russia |
| title_fullStr | Stability theorems in geometry and analysis by Yu. G. Reshetnyak, Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russia |
| title_full_unstemmed | Stability theorems in geometry and analysis by Yu. G. Reshetnyak, Institute of Mathematics, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Russia |
| title_short | Stability theorems in geometry and analysis |
| title_sort | stability theorems in geometry and analysis |
| topic | Análise matemática larpcal Géométrie différentielle ram Stabilité ram Geometry, Differential Stability Liouville-Satz (DE-588)4167786-9 gnd Stabilität (DE-588)4056693-6 gnd Konforme Abbildung (DE-588)4164968-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Análise matemática Géométrie différentielle Stabilité Geometry, Differential Stability Liouville-Satz Stabilität Konforme Abbildung Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006546842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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