Complex analysis on infinite dimensional spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
1999
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 485 - 532. - Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XV, 543 S. graph. Darst. |
| ISBN: | 1852331585 9781447112235 |
Staff View
MARC
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| 245 | 1 | 0 | |a Complex analysis on infinite dimensional spaces |c Seán Dineen |
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| 650 | 4 | |a Holomorphic functions | |
| 650 | 4 | |a Linear topological spaces | |
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Record in the Search Index
| _version_ | 1804127310921596928 |
|---|---|
| adam_text | Contents
Chapter 1. Polynomials
1.1 Continuous Polynomials 2
1.2 Topologies on Spaces of Polynomials 21
1.3 Geometry of Spaces of Polynomials 41
1.4 Exercises 66
1.5 Notes 73
Chapter 2. Duality Theory for Polynomials
2.1 Special Spaces of Polynomials and the Approximation
Property 84
2.2 Nuclear Spaces 94
2.3 Integral Polynomials and the Radon—Nikodym
Property 104
2.4 Reflexivity and Related Concepts 112
2.5 Exercises 129
2.6 Notes 134
Chapter 3. Holomorphic Mappings between Locally Convex
Spaces
3.1 Holomorphic Functions 144
3.2 Topologies on Spaces of Holomorphic Mappings 166
XIV Contents
3.3 The Quasi Local Theory of Holomorphic Functions 187
3.4 Polynomials in the Quasi Local Theory 210
3.5 Exercises 219
3.6 Notes 229
Chapter 4. Decompositions of Holomorphic Functions
4.1 Decompositions of Spaces of Holomorphic Functions . .. 245
4.2 tu = Tj for Frechet Spaces 256
4.3 Tb = tw for Frechet Spaces 275
4.4 Examples and Counterexamples 287
4.5 Exercises 309
4.6 Notes 313
Chapter 5. Riemann Domains
5.1 Holomorphic Germs on a Frechet Space 324
5.2 Riemann Domains over Locally Convex Spaces 333
5.3 Exercises 384
5.4 Notes 389
Chapter 6. Holomorphic Extensions
6.1 Extensions from Dense Subspaces 398
6.2 Extensions from Closed Subspaces 411
6.3 Holomorphic Functions of Bounded Type 424
6.4 Exercises 438
6.5 Notes 442
Contents XV
Appendix. Remarks on Selected Exercises 447
References 485
Index 533
|
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| author | Dineen, Seán 1944- |
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| ctrlnum | (OCoLC)41002865 (DE-599)BVBBV012653340 |
| dewey-full | 515/.98 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.98 |
| dewey-search | 515/.98 |
| dewey-sort | 3515 298 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012653340 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:31:19Z |
| institution | BVB |
| isbn | 1852331585 9781447112235 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008597246 |
| oclc_num | 41002865 |
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| physical | XV, 543 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Dineen, Seán 1944- Verfasser (DE-588)115656715 aut Complex analysis on infinite dimensional spaces Seán Dineen London [u.a.] Springer 1999 XV, 543 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 485 - 532. - Hier auch später erschienene, unveränderte Nachdrucke ESPAÇOS VETORIAIS TOPOLÓGICOS larpcal FUNÇÕES DE UMA VARIÁVEL COMPLEXA (TEXTOS AVANÇADOS) larpcal HOLOMORFIA larpcal Functions of complex variables Holomorphic functions Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 s Topologischer Vektorraum (DE-588)4122383-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008597246&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dineen, Seán 1944- Complex analysis on infinite dimensional spaces ESPAÇOS VETORIAIS TOPOLÓGICOS larpcal FUNÇÕES DE UMA VARIÁVEL COMPLEXA (TEXTOS AVANÇADOS) larpcal HOLOMORFIA larpcal Functions of complex variables Holomorphic functions Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| subject_GND | (DE-588)4122383-4 (DE-588)4025645-5 |
| title | Complex analysis on infinite dimensional spaces |
| title_auth | Complex analysis on infinite dimensional spaces |
| title_exact_search | Complex analysis on infinite dimensional spaces |
| title_full | Complex analysis on infinite dimensional spaces Seán Dineen |
| title_fullStr | Complex analysis on infinite dimensional spaces Seán Dineen |
| title_full_unstemmed | Complex analysis on infinite dimensional spaces Seán Dineen |
| title_short | Complex analysis on infinite dimensional spaces |
| title_sort | complex analysis on infinite dimensional spaces |
| topic | ESPAÇOS VETORIAIS TOPOLÓGICOS larpcal FUNÇÕES DE UMA VARIÁVEL COMPLEXA (TEXTOS AVANÇADOS) larpcal HOLOMORFIA larpcal Functions of complex variables Holomorphic functions Linear topological spaces Topologischer Vektorraum (DE-588)4122383-4 gnd Holomorphe Funktion (DE-588)4025645-5 gnd |
| topic_facet | ESPAÇOS VETORIAIS TOPOLÓGICOS FUNÇÕES DE UMA VARIÁVEL COMPLEXA (TEXTOS AVANÇADOS) HOLOMORFIA Functions of complex variables Holomorphic functions Linear topological spaces Topologischer Vektorraum Holomorphe Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008597246&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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