Blaschke products: bounded analytic functions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Ann Arbor
Univ. of Michigan Press
1985
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 140 S. |
| ISBN: | 0472100653 |
Internformat
MARC
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| 650 | 7 | |a Fonctions analytiques |2 ram | |
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Datensatz im Suchindex
| _version_ | 1804114811253948416 |
|---|---|
| adam_text | CONTENTS
CHAPTER 1 INTRODUCTION AMD ORIGINS 1
CHAPTER 2 INCIDENTAL RESULTS 7
CHAPTER 3 BOUNDARY BEHAVIOR OF BLACSHKE PRODUCTS:
FROSTMAN S CONDITIONS 13
A. Frostman s results
B. Some consequences
C. Some extensions
D. Further generalizations
CHAPTER k BOUNDARY BEHAVIOR OF BLASCHKE PRODUCTS 29
A. Behavior along radii
B. Zero radial limits
C. Behavior of |B(z)| and log [B(z)| as |z| ? 1
D. Integral means of log |B(re )l and |B(re )|
CHAPTER 5 BLASCHKE PRODUCTS AS INNER FUNCTIONS 45
A. Taylor coefficients
B. Sequences of Blaschke products
C. Omitted values
D. Components of the space of inner functions
CHAPTER 6 DERIVATIVES OF BLASCHKE PRODUCTS 55
A. Estimates for [B ^ (z)|
B. Blaschke products with H or B derivatives
CHAPTER 7 INTERPOLATION AND BLASCHKE PRODUCTS 6l
A. Interpolating sequences
B. Blaschke products whose zeros form a UIS
C. Descriptions of interpolating functions
CHAPTER 8 BLASCHKE PRODUCTS IN FUNCTION SPACES 73
A. Blaschke products in H00 (D)
B. Blaschke products in HP(d)
C. More general spaces
viii / Contents
CHAPTER 9 FINITE BLASCHKE PRODUCTS 80
A. Some properties of finite Blaschke products
B. Interpolation problems and finite Blaschke products
C. Approximation by finite Blaschke products
CHAPTER 10 GENERALIZATIONS OF BLASCHKE PRODUCTS 86
A. DzrbaSjan s Blaschke products
B. Blaschke products for divisor problems
C. Blaschke products on more general domains
D. Operator valued Blaschke products
CHAPTER 11 BLASCHKE PRODUCTS IN A HALF PLANE 98
BIBLIOGRAPHY 103
Infinite Blaschke Products 103
Finite Blaschke Products 126
Generalizations of Blaschke Products 129
Selected Books 134
APPENDIX Cited Conditions on Sequences 137
INDEX 139
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| any_adam_object | 1 |
| author | Colwell, Peter |
| author_facet | Colwell, Peter |
| author_role | aut |
| author_sort | Colwell, Peter |
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| building | Verbundindex |
| bvnumber | BV000344090 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331 |
| callnumber-search | QA331 |
| callnumber-sort | QA 3331 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| classification_tum | MAT 302f |
| ctrlnum | (OCoLC)11622575 (DE-599)BVBBV000344090 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000344090 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:12:39Z |
| institution | BVB |
| isbn | 0472100653 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000213802 |
| oclc_num | 11622575 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-29T DE-20 |
| physical | VIII, 140 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Univ. of Michigan Press |
| record_format | marc |
| spelling | Colwell, Peter Verfasser aut Blaschke products bounded analytic functions Ann Arbor Univ. of Michigan Press 1985 VIII, 140 S. txt rdacontent n rdamedia nc rdacarrier Fonctions analytiques ram Analytic functions Blaschke products Blaschke-Produkt (DE-588)4145811-4 gnd rswk-swf Blaschke-Produkt (DE-588)4145811-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000213802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Colwell, Peter Blaschke products bounded analytic functions Fonctions analytiques ram Analytic functions Blaschke products Blaschke-Produkt (DE-588)4145811-4 gnd |
| subject_GND | (DE-588)4145811-4 |
| title | Blaschke products bounded analytic functions |
| title_auth | Blaschke products bounded analytic functions |
| title_exact_search | Blaschke products bounded analytic functions |
| title_full | Blaschke products bounded analytic functions |
| title_fullStr | Blaschke products bounded analytic functions |
| title_full_unstemmed | Blaschke products bounded analytic functions |
| title_short | Blaschke products |
| title_sort | blaschke products bounded analytic functions |
| title_sub | bounded analytic functions |
| topic | Fonctions analytiques ram Analytic functions Blaschke products Blaschke-Produkt (DE-588)4145811-4 gnd |
| topic_facet | Fonctions analytiques Analytic functions Blaschke products Blaschke-Produkt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000213802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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