Geometric analysis of the Bergman kernel and metric:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
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Schriftenreihe: | Graduate texts in mathematics
268 |
Schlagworte: | |
Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461479239 9781461479246 |
DOI: | 10.1007/978-1-4614-7924-6 |
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Datensatz im Suchindex
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adam_text | GEOMETRIC ANALYSIS OF THE BERGMAN KERNEL AND METRIC
/ KRANTZ, STEVEN G.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1. INTRODUCTORY IDEAS
2.THE BERGMAN METRIC
3. GEOMETRIC AND ANALYTIC IDEAS
4. PARTIAL DIFFERENTIAL EQUATIONS
5. FURTHER GEOMETRIC EXPLORATIONS
6. ADDITIONAL ANALYTIC TOPICS
7. CURVATURE OF THE BERGMAN METRIC
8. CONCLUDING REMARKS
TABLE OF NOTATION
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GEOMETRIC ANALYSIS OF THE BERGMAN KERNEL AND METRIC
/ KRANTZ, STEVEN G.
: 2013
ABSTRACT / INHALTSTEXT
THIS TEXT PROVIDES A MASTERFUL AND SYSTEMATIC TREATMENT OF ALL THE BASIC
ANALYTIC AND GEOMETRIC ASPECTS OF BERGMAN S CLASSIC THEORY OF THE KERNEL
AND ITS INVARIANCE PROPERTIES. THESE INCLUDE CALCULATION, INVARIANCE
PROPERTIES, BOUNDARY ASYMPTOTICS, AND ASYMPTOTIC EXPANSION OF THE
BERGMAN KERNEL AND METRIC.MOREOVER, ITPRESENTS A UNIQUE COMPENDIUM
OF RESULTS WITH APPLICATIONS TO FUNCTION THEORY, GEOMETRY, PARTIAL
DIFFERENTIAL EQUATIONS, AND INTERPRETATIONS IN THE LANGUAGE OF
FUNCTIONAL ANALYSIS, WITH EMPHASIS ON THE SEVERAL COMPLEX VARIABLES
CONTEXT. SEVERAL OF THESE TOPICS APPEAR HERE FOR THE FIRST TIME IN BOOK
FORM. EACH CHAPTER INCLUDES ILLUSTRATIVE EXAMPLES AND A COLLECTION OF
EXERCISES WHICH WILL BE OF INTEREST TO BOTH GRADUATE STUDENTS AND
EXPERIENCED MATHEMATICIANS. GRADUATE STUDENTS WHO HAVE TAKEN COURSES IN
COMPLEX VARIABLES AND HAVE A BASIC BACKGROUND IN REAL AND FUNCTIONAL
ANALYSIS WILL FIND THIS TEXTBOOK APPEALING. APPLICABLE COURSES FOR
EITHER MAIN OR SUPPLEMENTARY USAGE INCLUDE THOSE IN COMPLEX VARIABLES,
SEVERAL COMPLEX VARIABLES, COMPLEX DIFFERENTIAL GEOMETRY, AND PARTIAL
DIFFERENTIAL EQUATIONS. RESEARCHERS IN COMPLEX ANALYSIS, HARMONIC
ANALYSIS, PDES, AND COMPLEX DIFFERENTIAL GEOMETRY WILL ALSO BENEFIT FROM
THE THOROUGH TREATMENT OF THE MANY EXCITING ASPECTS OF BERGMAN S THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Krantz, Steven G. 1951- |
author_GND | (DE-588)130535907 |
author_facet | Krantz, Steven G. 1951- |
author_role | aut |
author_sort | Krantz, Steven G. 1951- |
author_variant | s g k sg sgk |
building | Verbundindex |
bvnumber | BV041382068 |
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collection | ZDB-2-SMA |
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dewey-ones | 610 - Medicine and health |
dewey-raw | 610 |
dewey-search | 610 |
dewey-sort | 3610 |
dewey-tens | 610 - Medicine and health |
discipline | Mathematik Medizin |
doi_str_mv | 10.1007/978-1-4614-7924-6 |
format | Electronic eBook |
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spelling | Krantz, Steven G. 1951- Verfasser (DE-588)130535907 aut Geometric analysis of the Bergman kernel and metric Steven G. Krantz New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 268 Bergman-Kernfunktion (DE-588)4236138-2 gnd rswk-swf Bergman-Metrik (DE-588)4144650-1 gnd rswk-swf Bergman-Metrik (DE-588)4144650-1 s 1\p DE-604 Bergman-Kernfunktion (DE-588)4236138-2 s 2\p DE-604 Graduate texts in mathematics 268 (DE-604)BV035421258 268 https://doi.org/10.1007/978-1-4614-7924-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Krantz, Steven G. 1951- Geometric analysis of the Bergman kernel and metric Graduate texts in mathematics Bergman-Kernfunktion (DE-588)4236138-2 gnd Bergman-Metrik (DE-588)4144650-1 gnd |
subject_GND | (DE-588)4236138-2 (DE-588)4144650-1 |
title | Geometric analysis of the Bergman kernel and metric |
title_auth | Geometric analysis of the Bergman kernel and metric |
title_exact_search | Geometric analysis of the Bergman kernel and metric |
title_full | Geometric analysis of the Bergman kernel and metric Steven G. Krantz |
title_fullStr | Geometric analysis of the Bergman kernel and metric Steven G. Krantz |
title_full_unstemmed | Geometric analysis of the Bergman kernel and metric Steven G. Krantz |
title_short | Geometric analysis of the Bergman kernel and metric |
title_sort | geometric analysis of the bergman kernel and metric |
topic | Bergman-Kernfunktion (DE-588)4236138-2 gnd Bergman-Metrik (DE-588)4144650-1 gnd |
topic_facet | Bergman-Kernfunktion Bergman-Metrik |
url | https://doi.org/10.1007/978-1-4614-7924-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830023&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV035421258 |
work_keys_str_mv | AT krantzsteveng geometricanalysisofthebergmankernelandmetric |