Univalent functions and orthonormal systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1977
|
| Series: | Translations of Mathematical Monographs
49 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russichen übersetzt |
| Physical Description: | IV, 202 Seiten graph. Darst. |
| ISBN: | 0821815997 |
Staff View
MARC
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| 240 | 1 | 0 | |a Odnolistnye funkcii i orthonormirovannye sistemy |
| 245 | 1 | 0 | |a Univalent functions and orthonormal systems |c by I. M. Milin |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1977 | |
| 300 | |a IV, 202 Seiten |b graph. Darst. | ||
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| 490 | 1 | |a Translations of Mathematical Monographs |v 49 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Preface 1
Introduction 2
Part I. Univalent functions in a simply connected domain 7
Chapter 1. The system of functions {An(z)} 7
§1. Connection with Faber polynomials 7
§2. Area theorems 9
§3. Orthonormality of the system {s/nA n{z)} 16
§4. Simplest applications of the systems {An(z)} 22
Chapter 2. Taylor coefficients of a composite function 27
§ 1. Inequalities for the coefficients of a composite function in the general
case 27
§2. Inequalities for the coefficients of a composite exponential function... 32
§3. Asymptotic equalities for the coefficients of composite exponential
functions 44
Chapter 3. Coefficients of univalent functions 51
§1. Inequalities for the logarithmic coefficients 53
§2. Asymptotic behavior of the coefficients 64
§3. Bounds on the coefficients 74
§4. The local coefficient problem 82
§5. Growth of coefficients of bounded functions 92
Editor s Supplement to Part I. P. L. Duren 101
Part II. Univalent functions in a finitely connected domain 105
Chapter 4. The Laurent system of functions 105
§1. Existence and uniqueness of the Laurent system 105
§2. Properties of the functions of the Laurent system 116
§3. Expansion in series in terms of the Taylor system 132
§4. Expansion in Laurent type series 139
Chapter 5. The system of functions {Cn(z)} 153
§1. Simplest properties of the system {Cn(z)} 153
§2. Area theorems 157
§3. Orthonormality of the system {Cniz)} 162
§4. Extremal systems {Cn(z)} 168
Chapter 6. Applications 179
§1. Estimates and ranges of some functional 179
iii
TABLE OF CONTENTS
§2. Conditions for univalence 191
Bibliography 195
Supplementary Bibliography 200
|
| any_adam_object | 1 |
| author | Milin, Isaak Moiseevič |
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| ctrlnum | (OCoLC)246828305 (DE-599)BVBBV003091918 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003091918 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:53:29Z |
| institution | BVB |
| isbn | 0821815997 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001938818 |
| oclc_num | 246828305 |
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| physical | IV, 202 Seiten graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Milin, Isaak Moiseevič Verfasser (DE-588)1101349824 aut Odnolistnye funkcii i orthonormirovannye sistemy Univalent functions and orthonormal systems by I. M. Milin Providence, RI American Mathematical Society 1977 IV, 202 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 49 Aus dem Russichen übersetzt Schlichte Funktion (DE-588)4131418-9 gnd rswk-swf Orthonormalsystem (DE-588)4172869-5 gnd rswk-swf Schlichte Funktion (DE-588)4131418-9 s Orthonormalsystem (DE-588)4172869-5 s DE-604 Translations of Mathematical Monographs 49 (DE-604)BV000002394 49 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001938818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Milin, Isaak Moiseevič Univalent functions and orthonormal systems Translations of Mathematical Monographs Schlichte Funktion (DE-588)4131418-9 gnd Orthonormalsystem (DE-588)4172869-5 gnd |
| subject_GND | (DE-588)4131418-9 (DE-588)4172869-5 |
| title | Univalent functions and orthonormal systems |
| title_alt | Odnolistnye funkcii i orthonormirovannye sistemy |
| title_auth | Univalent functions and orthonormal systems |
| title_exact_search | Univalent functions and orthonormal systems |
| title_full | Univalent functions and orthonormal systems by I. M. Milin |
| title_fullStr | Univalent functions and orthonormal systems by I. M. Milin |
| title_full_unstemmed | Univalent functions and orthonormal systems by I. M. Milin |
| title_short | Univalent functions and orthonormal systems |
| title_sort | univalent functions and orthonormal systems |
| topic | Schlichte Funktion (DE-588)4131418-9 gnd Orthonormalsystem (DE-588)4172869-5 gnd |
| topic_facet | Schlichte Funktion Orthonormalsystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001938818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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