Verfügbarkeit: Topics in complex analysis

Topics in complex analysis:

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1. Verfasser:	Andersson, Mats 1957- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York, NY [u.a.] Springer 1997
Schriftenreihe:	Universitext : Tracts in Mathematics
Schlagworte:	Analytiska funktioner Funktioner av komplexa variabler Matematisk analys Functions of complex variables Mathematical analysis Funktionentheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	VIII, 157 Seiten graph. Darst.
ISBN:	038794754X

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MARC


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Datensatz im Suchindex

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adam_text	MATS ANDERSSON TOPICS IN COMPLEX ANALYSIS SPRINGER CONTENT S PREFACE V PRELIMINARIES 1 §1 . NOTATIO N 1 §2. SOME FACT S 2 1. SOME BASIC PROPERTIES OF ANALYTIC FUNCTIONS 5 §1 . DEFINITION AN D INTEGRA L REPRESENTATIO N 5 §2. POWER SERIES EXPANSION S AN D RESIDUES 12 §3 . GLOBAL CAUCHY THEOREM S 18 2. PROPERTIES OF ANALYTIC MAPPINGS 28 §1 . CONFORMAL MAPPING S 28 §2. TH E RIEMAN N SPHER E AN D PROTECTIV E SPACE 3 3 §3 . UNIVALEN T FUNCTION S 35 §4. PICARD S THEOREMS 38 3 . ANALYTIC APPROXIMATION AND CONTINUATION 46 §1 . APPROXIMATIO N WIT H RATIONAL S 46 §2. MITTAG-LEFTIER S THEOREM AN D TH E INHOMOGENEOU S CAUCHY-RIEMAN N EQUATIO N 48 §3 . ANALYTI C CONTINUATIO N 51 §4. SIMPLY CONNECTED DOMAIN S 53 §5 . ANALYTI C FUNCTIONAL S AN D TH E FOURIER-LAPLAC E TRANSFOR M 55 §6. MERGELYAN S THEOREM 58 4. HARMONIC AND SUBHARMONIC FUNCTIONS 67 §1 . HARMONI C FUNCTION S 67 §2. SUBHARMONI C FUNCTION S 71 VIII CONTENTS 5. ZEROS, GROWTH, AND VALUE DISTRIBUTION 82 §1 . WEIERSTRASS THEOREM 82 §2. ZEROS AND GROWTH 85 §3. VALUE DISTRIBUTION OF ENTIR E FUNCTIONS 88 6. HARMONIC FUNCTIONS AND FOURIER SERIES 97 §1. BOUNDARY VALUES OF HARMONIC FUNCTIONS 97 §2. FOURIER SERIES 104 7. H SPACES 112 §1 . FACTORIZATION IN IF SPACES 112 §2. INVARIANT SUBSPACES OF H 2 116 §3. INTERPOLATION OF H 118 §4. CARLESON MEASURES 121 8. IDEALS AND THE CORONA THEOREM 130 §1 . IDEALS INA(Q) 130 §2. THE CORONA THEOREM 131 9. IF 1 AND BMO 141 §1. BOUNDED MEAN OSCILLATION 141 §2. THE DUALITY OF H 1 AND BMO 146 BIBLIOGRAPHY 151 LIST OF SYMBOLS 153 INDEX 155
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isbn	038794754X
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spelling	Andersson, Mats 1957- Verfasser (DE-588)142058467 aut Topics in complex analysis Mats Andersson New York, NY [u.a.] Springer 1997 VIII, 157 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext : Tracts in Mathematics Analytiska funktioner sao Funktioner av komplexa variabler sao Matematisk analys sao Functions of complex variables Mathematical analysis Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007454062&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Andersson, Mats 1957- Topics in complex analysis Analytiska funktioner sao Funktioner av komplexa variabler sao Matematisk analys sao Functions of complex variables Mathematical analysis Funktionentheorie (DE-588)4018935-1 gnd
subject_GND	(DE-588)4018935-1
title	Topics in complex analysis
title_auth	Topics in complex analysis
title_exact_search	Topics in complex analysis
title_full	Topics in complex analysis Mats Andersson
title_fullStr	Topics in complex analysis Mats Andersson
title_full_unstemmed	Topics in complex analysis Mats Andersson
title_short	Topics in complex analysis
title_sort	topics in complex analysis
topic	Analytiska funktioner sao Funktioner av komplexa variabler sao Matematisk analys sao Functions of complex variables Mathematical analysis Funktionentheorie (DE-588)4018935-1 gnd
topic_facet	Analytiska funktioner Funktioner av komplexa variabler Matematisk analys Functions of complex variables Mathematical analysis Funktionentheorie
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