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Generalized analytic continuation:

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Bibliographische Detailangaben
Beteiligte Personen:	Ross, William T. 1964- (VerfasserIn), Shapiro, Harold S. 1928-2021 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society [2002]
Schriftenreihe:	University lecture series Volume 25
Schlagwörter:	Analytische functies Prolongement analytique Analytic continuation Analytische Fortsetzung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009856303&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xiii, 149 Seiten
ISBN:	0821831755 9780821831755

Internformat

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Datensatz im Suchindex

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adam_text	Contents Preface ix Chapter 1. Overview 1 Chapter 2. Notation and Preliminaries 11 2.1. Sets 11 2.2. Function Spaces 11 Chapter 3. The Poincare example 17 3.1. Poincare s result 17 3.2. Matching non tangential boundary values 18 Chapter 4. Borel s ideas and their later development 21 4.1. Superconvergence 21 4.2. Borel series 25 Chapter 5. Goncar Continuation 37 5.1. Hyperconvergence 37 5.2. Goncar continuation 41 Chapter 6. Pseudocontinuation 45 6.1. A problem of Walsh and Tumarkin 45 6.2. Definition and basic examples 49 6.3. Cyclic vectors for the backward shift on H2 52 6.4. The Hardy space of a multiply connected domain 56 6.5. Walsh Tumarkin again 58 6.6. Other spaces of analytic functions 59 6.7. The Darlington synthesis problem 63 6.8. Linear differential equations of infinite order 65 6.9. Gap theorems 74 6.10. Functional equations and non continuability 83 Chapter 7. A continuation involving almost periodic functions 89 7.1. Revisiting the Poincare example 89 7.2. A primer on almost periodic functions 91 7.3. Compatibility with analytic continuation 93 Chapter 8. Continuation by formal multiplication of series 99 8.1. Definition 100 8.2. Compatibility with analytic continuation 101 8.3. Cyclic vectors for backward shifts 104 8.4. Spectral properties 113 vii viii CONTENTS 8.5. Uniqueness 121 8.6. A continuation arising from overconvergence 123 8.7. Generalizing the Walsh Tumarkin results 125 8.8. Possible generalizations 128 Chapter 9. Generalized analytic continuation 131 9.1. Axiomatizing the notion of GAC 131 9.2. Compatibility 132 List of Symbols 139 Bibliography 141 Index 147
any_adam_object	1
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isbn	0821831755 9780821831755
language	English
lccn	2002018463
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series	University lecture series
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spellingShingle	Ross, William T. 1964- Shapiro, Harold S. 1928-2021 Generalized analytic continuation University lecture series Analytische functies gtt Prolongement analytique Analytic continuation Analytische Fortsetzung (DE-588)4142347-1 gnd
subject_GND	(DE-588)4142347-1
title	Generalized analytic continuation
title_auth	Generalized analytic continuation
title_exact_search	Generalized analytic continuation
title_full	Generalized analytic continuation William T. Ross ; Harold S. Shapiro
title_fullStr	Generalized analytic continuation William T. Ross ; Harold S. Shapiro
title_full_unstemmed	Generalized analytic continuation William T. Ross ; Harold S. Shapiro
title_short	Generalized analytic continuation
title_sort	generalized analytic continuation
topic	Analytische functies gtt Prolongement analytique Analytic continuation Analytische Fortsetzung (DE-588)4142347-1 gnd
topic_facet	Analytische functies Prolongement analytique Analytic continuation Analytische Fortsetzung
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work_keys_str_mv	AT rosswilliamt generalizedanalyticcontinuation AT shapiroharolds generalizedanalyticcontinuation

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