The Cauchy transform, potential theory, and conformal mapping:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
1992
|
| Schriftenreihe: | Studies in advanced mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 149 S. |
| ISBN: | 084938270X |
Internformat
MARC
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| 245 | 1 | 0 | |a The Cauchy transform, potential theory, and conformal mapping |c Steven R. Bell |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 1992 | |
| 300 | |a X, 149 S. | ||
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Datensatz im Suchindex
| _version_ | 1804120386530443264 |
|---|---|
| adam_text | Contents
Preface ix
1 Introduction 1
2 The improved Cauchy Integral formula 1
3 The Cauchy transform 7
4 The Hardy space, the Szego projection, and the
Kerzman Stein formula 10
5 The Kerzman Stein operator and kernel 14
6 The classical definition of the Hardy space 16
7 The Szego kernel function 22
8 The Riemann mapping function 27
9 A density lemma and consequences 28
10 Solution of the Dirichlet Problem in simply connected
domains 35
11 The case of real analytic boundary 38
12 The transformation law for the Szego kernel under
conformal mappings 42
13 The Ahlfors map of a multiply connected domain 47
14 The Dirichlet problem in multiply connected domains 53
15 The Bergman space 56
16 Proper holomorphic mappings and the Bergman projection 62
17 The solid Cauchy transform 70
18 The classical Neumann problem 75
19 Harmonic measure and the Szego kernel 79
20 The Neumann problem in multiply connected domains 87
21 The Dirichlet problem again 89
22 The Hilbert transform 91
23 The Bergman kernel and the Szego kernel 93
vii
via
24 Pseudolocal property of the Cauchy transform
and consequences 98
25 Zeroes of the Szego kernel 105
26 The Kerzman Stein integral equation 108
27 Local boundary behavior of holomorphic mappings 112
28 The dual space of A°°{Q) 117
29 The Green s function and the Bergman kernel 128
30 Zeroes of the Bergman kernel 132
Appendix A. The Cauchy Kovalevski Theorem for the
Cauchy Riemann operator 136
Bibliographic Notes 139
Bibliography 141
Table of Symbols 145
Index 147
|
| any_adam_object | 1 |
| author | Bell, Steven R. |
| author_facet | Bell, Steven R. |
| author_role | aut |
| author_sort | Bell, Steven R. |
| author_variant | s r b sr srb |
| building | Verbundindex |
| bvnumber | BV006157294 |
| classification_rvk | SK 540 SK 750 |
| classification_tum | MAT 303f |
| ctrlnum | (OCoLC)243733730 (DE-599)BVBBV006157294 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006157294 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:41:16Z |
| institution | BVB |
| isbn | 084938270X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003894859 |
| oclc_num | 243733730 |
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| owner_facet | DE-12 DE-739 DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-20 DE-188 |
| physical | X, 149 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Studies in advanced mathematics |
| spelling | Bell, Steven R. Verfasser aut The Cauchy transform, potential theory, and conformal mapping Steven R. Bell Boca Raton [u.a.] CRC Press 1992 X, 149 S. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Cauchy-Integralformel (DE-588)4147402-8 gnd rswk-swf Funktion (DE-588)4195664-3 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Cauchy-Transformierte (DE-588)4200458-5 gnd rswk-swf Cauchy-Integralformel (DE-588)4147402-8 s Cauchy-Transformierte (DE-588)4200458-5 s Funktion (DE-588)4195664-3 s Mehrere komplexe Variable (DE-588)4169285-8 s Potenzialtheorie (DE-588)4046939-6 s Konforme Abbildung (DE-588)4164968-0 s 1\p DE-604 DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003894859&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bell, Steven R. The Cauchy transform, potential theory, and conformal mapping Potenzialtheorie (DE-588)4046939-6 gnd Cauchy-Integralformel (DE-588)4147402-8 gnd Funktion (DE-588)4195664-3 gnd Konforme Abbildung (DE-588)4164968-0 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Cauchy-Transformierte (DE-588)4200458-5 gnd |
| subject_GND | (DE-588)4046939-6 (DE-588)4147402-8 (DE-588)4195664-3 (DE-588)4164968-0 (DE-588)4169285-8 (DE-588)4200458-5 |
| title | The Cauchy transform, potential theory, and conformal mapping |
| title_auth | The Cauchy transform, potential theory, and conformal mapping |
| title_exact_search | The Cauchy transform, potential theory, and conformal mapping |
| title_full | The Cauchy transform, potential theory, and conformal mapping Steven R. Bell |
| title_fullStr | The Cauchy transform, potential theory, and conformal mapping Steven R. Bell |
| title_full_unstemmed | The Cauchy transform, potential theory, and conformal mapping Steven R. Bell |
| title_short | The Cauchy transform, potential theory, and conformal mapping |
| title_sort | the cauchy transform potential theory and conformal mapping |
| topic | Potenzialtheorie (DE-588)4046939-6 gnd Cauchy-Integralformel (DE-588)4147402-8 gnd Funktion (DE-588)4195664-3 gnd Konforme Abbildung (DE-588)4164968-0 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd Cauchy-Transformierte (DE-588)4200458-5 gnd |
| topic_facet | Potenzialtheorie Cauchy-Integralformel Funktion Konforme Abbildung Mehrere komplexe Variable Cauchy-Transformierte |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003894859&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bellstevenr thecauchytransformpotentialtheoryandconformalmapping |