The 21st Hilbert problem for linear Fuchsian systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence ; Rhode Island
American Math. Society
1995
|
| Series: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
206 = 1995,5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russischen übersetzt |
| Physical Description: | viii, 145 Seiten |
| ISBN: | 0821804669 |
Staff View
MARC
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| 240 | 1 | 0 | |a 21-ja problema Gil'berta dlja linejnych Fuksovych sistem |
| 245 | 1 | 0 | |a The 21st Hilbert problem for linear Fuchsian systems |c A. A. Bolibrukh |
| 246 | 1 | 3 | |a The twenty-first Hilbert problem for linear Fuchsian systems |
| 264 | 1 | |a Providence ; Rhode Island |b American Math. Society |c 1995 | |
| 300 | |a viii, 145 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |v 206 = 1995,5 | |
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| 650 | 4 | |a Fuchsian groups | |
| 650 | 4 | |a Riemann-Hilbert problems | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Introduction 1
CHAPTER 1. Main Definitions. The Method of Solution 11
1. Main definitions. Regular singular points. Normalizations 11
2. Structure of the solution space of a system with a regular singular
point. Fuchsian systems. A criterion for being Fuchsian 18
3. Preliminary facts. Method of solution. Gauge transformations 25
4. The Riemann Hilbert problem and holomorphic bundles on the
Riemann sphere 35
5. Examples of the positive solution of the Riemann Hilbert problem.... 43
CHAPTER 2. The Riemann Hilbert Problem for Systems of Three Equations 47
1. Positive solution of the Riemann Hilbert problem for an irreducible
representation of dimension three 47
2. Fuchsian systems of two equations on the Riemann sphere. The
Fuchsian weight of a representation 50
3. A criterion for positive solvability of the Riemann Hilbert problem for
a representation of dimension three 60
4. Example of a negative solution of the Riemann Hilbert problem 69
5. The Fuchsian weight of a representation and isomonodromy
deformations 75
6. The Fuchsian weight and two dimensional holomorphic vector bundles
on the Riemann sphere 78
CHAPTER 3. Fuchsian Equations and Fuchsian Systems on the Riemann
Sphere 83
1. The number of false singular points of a Fuchsian equation 83
2. Construction from a Fuchsian equation of a Fuchsian system with the
same singular points and the same monodromy 89
CHAPTER 4. Irreducible Representations 97
1. Technical lemmas 97
2. The maximal Fuchsian weight of a representation 100
3. A positive solution for an irreducible representation 103
4. An exact expression for the number of additional false singular points . 104
5. Analytic transformation to standard Birkhoff form 107
6. Connections with logarithmic singularities and the Fuchsian weight ... 110
CHAPTER 5. Reducible Representations 119
1. Reducibility and regularity 119
2. A new series of counterexamples 126
3. Sufficient conditions for the Riemann Hilbert problem to have a
positive solution 128
Bibiliography 143
V
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| any_adam_object | 1 |
| author | Bolibruch, Andrej A. 1950-2003 |
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| author_facet | Bolibruch, Andrej A. 1950-2003 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 700 |
| ctrlnum | (OCoLC)34063219 (DE-599)BVBBV010701160 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010701160 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:26Z |
| institution | BVB |
| isbn | 0821804669 |
| language | English Russian |
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| physical | viii, 145 Seiten |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | American Math. Society |
| record_format | marc |
| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| spelling | Bolibruch, Andrej A. 1950-2003 (DE-588)130512621 aut 21-ja problema Gil'berta dlja linejnych Fuksovych sistem The 21st Hilbert problem for linear Fuchsian systems A. A. Bolibrukh The twenty-first Hilbert problem for linear Fuchsian systems Providence ; Rhode Island American Math. Society 1995 viii, 145 Seiten txt rdacontent n rdamedia nc rdacarrier Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics 206 = 1995,5 Aus dem Russischen übersetzt Hilberts eenentwintigste probleem gtt Fuchsian groups Riemann-Hilbert problems Fuchs-Differentialgleichung (DE-588)4155564-8 gnd rswk-swf Riemann-Hilbert-Problem (DE-588)4372594-6 gnd rswk-swf Riemann-Hilbert-Problem (DE-588)4372594-6 s Fuchs-Differentialgleichung (DE-588)4155564-8 s DE-604 Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics 206 = 1995,5 (DE-604)BV000009943 206 = 1995,5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007142764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bolibruch, Andrej A. 1950-2003 The 21st Hilbert problem for linear Fuchsian systems Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Hilberts eenentwintigste probleem gtt Fuchsian groups Riemann-Hilbert problems Fuchs-Differentialgleichung (DE-588)4155564-8 gnd Riemann-Hilbert-Problem (DE-588)4372594-6 gnd |
| subject_GND | (DE-588)4155564-8 (DE-588)4372594-6 |
| title | The 21st Hilbert problem for linear Fuchsian systems |
| title_alt | 21-ja problema Gil'berta dlja linejnych Fuksovych sistem The twenty-first Hilbert problem for linear Fuchsian systems |
| title_auth | The 21st Hilbert problem for linear Fuchsian systems |
| title_exact_search | The 21st Hilbert problem for linear Fuchsian systems |
| title_full | The 21st Hilbert problem for linear Fuchsian systems A. A. Bolibrukh |
| title_fullStr | The 21st Hilbert problem for linear Fuchsian systems A. A. Bolibrukh |
| title_full_unstemmed | The 21st Hilbert problem for linear Fuchsian systems A. A. Bolibrukh |
| title_short | The 21st Hilbert problem for linear Fuchsian systems |
| title_sort | the 21st hilbert problem for linear fuchsian systems |
| topic | Hilberts eenentwintigste probleem gtt Fuchsian groups Riemann-Hilbert problems Fuchs-Differentialgleichung (DE-588)4155564-8 gnd Riemann-Hilbert-Problem (DE-588)4372594-6 gnd |
| topic_facet | Hilberts eenentwintigste probleem Fuchsian groups Riemann-Hilbert problems Fuchs-Differentialgleichung Riemann-Hilbert-Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007142764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000009943 |
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