Complex dynamical systems and the geometry of domains in Banach spaces:
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2004
|
| Series: | Dissertationes mathematicae
427 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 62, II S. |
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MARC
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| 245 | 1 | 0 | |a Complex dynamical systems and the geometry of domains in Banach spaces |c Mark Elin ; Simeon Reich ; David Shoikhet |
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Record in the Search Index
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| adam_text |
Titel: Complex dynamical systems and the geometry of domains in Banach spaces
Autor: Elin, Mark
Jahr: 2004
CONTENTS
0. Introduction.5
1. Basic concepts and definitions.7
1.1. Holomorphic mappings.7
1.2. Convex, star-shaped and spiral-shaped domains.8
1.3. Fan-like and snail-like mappings.9
2. Historical sketch.10
2.1. Star-like functions on the unit disk.10
2.3. Spiral-like functions on the unit disk.11
2.3. Convex and close-to-convex functions .11
2.4. Fan-shaped functions. A conjecture of M. S. Robertson.12
2.5. Higher dimensional extensions .13
3. Dynamical approach.17
3.1. Semicomplete vector fields and semigroups of holomorphic mappings.17
3.2. Stationary points of semigroups of holomorphic mappings .18
3.3. Boundary and interior flow invariance conditions.19
3.4. Bounded symmetric domains and complete vector fields.23
3.5. Characterizations of semicomplete vector fields.24
3.6. Strongly semicomplete vector fields and rates of convergence of semigroups.27
3.7. Flows and vector fields on biholomorphically equivalent domains and geometric
aspects in Banach spaces.30
3.8. Parametric representations of semicomplete vector fields on the Hilbert ball.37
3.8.1. The one-dimensional Berkson-Porta formula.37
3.8.2. A characterization of semicomplete vector fields on the Hilbert ball with an
interior null point.
3.8.3. Comparison of solutions of evolution equations: asymptotic behavior.40
3.8.4. Admissible lower and upper bounds and rates of convergence.42
3.8.5. A parametric representation of semicomplete vector fields with an interior
null point.^9
3.8.6. A parametric representation of semicomplete vector fields with no null point. 51
3.9. Growth and covering theorems for star-like mappings on the unit ball of Banach
and Hilbert spaces.^
References.
2000 Mathematics Subject Classification: 30C45, 32F45, 34G20, 46G20, 46T25, 47H20.
Key words and phrases: asymptotic behavior, complete and semicomplete vector fields, holomor-
phic generators, growth and covering theorems, nonlinear semigroups, star-like and spiral-like
mappings.
Received 26.3.2003. |
| any_adam_object | 1 |
| author | Elin, Mark Reich, Simeon Shoiykhet, David 1953- |
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| illustrated | Not Illustrated |
| indexdate | 2025-03-31T20:04:14Z |
| institution | BVB |
| language | English |
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| physical | 62, II S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Elin, Mark Verfasser aut Complex dynamical systems and the geometry of domains in Banach spaces Mark Elin ; Simeon Reich ; David Shoikhet Warszawa Polska Akad. Nauk, Inst. Matematyczny 2004 62, II S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 427 Biholomorphic mappings Geometric function theory Holomorphic mappings Banach-Raum (DE-588)4004402-6 gnd rswk-swf Holomorphe Abbildung (DE-588)4160471-4 gnd rswk-swf Holomorphe Abbildung (DE-588)4160471-4 s Banach-Raum (DE-588)4004402-6 s DE-604 Reich, Simeon Verfasser aut Shoiykhet, David 1953- Verfasser (DE-588)1079700099 aut Dissertationes mathematicae 427 (DE-604)BV000003039 427 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012925667&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Elin, Mark Reich, Simeon Shoiykhet, David 1953- Complex dynamical systems and the geometry of domains in Banach spaces Dissertationes mathematicae Biholomorphic mappings Geometric function theory Holomorphic mappings Banach-Raum (DE-588)4004402-6 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4160471-4 |
| title | Complex dynamical systems and the geometry of domains in Banach spaces |
| title_auth | Complex dynamical systems and the geometry of domains in Banach spaces |
| title_exact_search | Complex dynamical systems and the geometry of domains in Banach spaces |
| title_full | Complex dynamical systems and the geometry of domains in Banach spaces Mark Elin ; Simeon Reich ; David Shoikhet |
| title_fullStr | Complex dynamical systems and the geometry of domains in Banach spaces Mark Elin ; Simeon Reich ; David Shoikhet |
| title_full_unstemmed | Complex dynamical systems and the geometry of domains in Banach spaces Mark Elin ; Simeon Reich ; David Shoikhet |
| title_short | Complex dynamical systems and the geometry of domains in Banach spaces |
| title_sort | complex dynamical systems and the geometry of domains in banach spaces |
| topic | Biholomorphic mappings Geometric function theory Holomorphic mappings Banach-Raum (DE-588)4004402-6 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd |
| topic_facet | Biholomorphic mappings Geometric function theory Holomorphic mappings Banach-Raum Holomorphe Abbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012925667&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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