Hyperfunctions on hypo-analytic manifolds:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
1994
|
| Series: | Annals of Mathematics Studies
136 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 377 Seiten |
| ISBN: | 0691029938 069102992X |
Staff View
MARC
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| 100 | 1 | |a Cordaro, Paulo Domingos |e Verfasser |0 (DE-588)1158473125 |4 aut | |
| 245 | 1 | 0 | |a Hyperfunctions on hypo-analytic manifolds |c by Paulo D. Cordaro and François Treves |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Preface xi
0.1 Background on sheaves of vector spaces over a manifold 3
0.2 Background on sheaf cohomology 12
CHAPTER I
HYPERFUNCTIONS IN A MAXIMAL HYPO ANALYTIC
STRUCTURE
Introduction 25
1.1 Analytic functionals in open subsets of Cm 29
1.2 Analytic functionals in Cm 38
1.3 Integral representations of analytic functionals carried by
small compact subsets of a maximally real submanifold 52
1.4 Support of an analytic functional carried by small
compact subsets of a maximally real submanifold 66
1.5 Hyperfunctions on a maximally real submanifold of
complex space. Hyperfunctions on a manifold equipped
with a maximal hypo—^analytic structure 77
1.6 Hyperfunction theory, polynomial convexity
and Serre duality 91
Appendix to Section 1.6: Homomorphisms of Frechet spaces 107
CHAPTER II
MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY
REAL SUBMANIFOLD OF COMPLEX SPACE
Introduction 113
viii Contents
11.1 Boundary values of holomorphic functions in wedges 115
11.2 FBI transform of a hyperfunction. Inversion of
the FBI transform. Hypo—analyticity charaterized by
the exponential decay of the FBI transform 125
11.3 Local representation of a hyperfunction as a sum of
boundary values of holomorphic functions in wedges.
Hypo—analytic wave front set of a hyperfunction 141
11.4 Delimitation of the hypo—analytic wave—front set of
a hyperfunction by the decay of its FBI transform 150
11.5 Edge of the wedge 161
11.6 The sheaf of microfunctions 170
CHAPTER III
HYPERFUNCTION SOLUTIONS IN A HYPO ANALYTIC MANIFOLD
Introduction 179
111.1 Definition of hyperfunction solutions in
a hypo—analytic manifold 181
111.2 Statement of the main theorem on the invariance
of the sheaves g*^^ 195
111.3 Proof of the Main Theorem 211
CHAPTER IV
TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS
Introduction 235
IV.1 Analytic functionals depending smoothly on t 239
IV.2 Hyperfunctions depending smoothly on t 259
Contents ix
IV.3 Hyperfunction solutions depending smoothly on i 272
IV.4 Partial regularity of all hyperfunction solutions 295
IV.5 Consequences and additional remarks 306
IV.6 FBI transform of hyperfunctions depending smoothly
on t 316
IV.7 Use of the fine embedding. CR hyperfunctions 327
IV.8 FBI minitransform. Jump Theorem in hypo—analytic
structures of the hypersurface type 337
IV.9 Nonvanishing of the local cohomology in hypo—analytic
structures of the hypersurface type 344
Historical Notes 357
Bibliographical References 365
Index of Terms 371
|
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| indexdate | 2024-07-09T17:48:37Z |
| institution | BVB |
| isbn | 0691029938 069102992X |
| language | English |
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| physical | XX, 377 Seiten |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Cordaro, Paulo Domingos Verfasser (DE-588)1158473125 aut Hyperfunctions on hypo-analytic manifolds by Paulo D. Cordaro and François Treves Princeton, NJ Princeton University Press 1994 XX, 377 Seiten txt rdacontent n rdamedia nc rdacarrier Annals of Mathematics Studies 136 CR-sous-variétés Hyperfonctions Hyperfonctions ram Manifolds gtt Sous-variétés (Mathématiques) ram Hyperfunctions Submanifolds Untermannigfaltigkeit (DE-588)4128503-7 gnd rswk-swf Hyperfunktion (DE-588)4161056-8 gnd rswk-swf Hyperfunktion (DE-588)4161056-8 s DE-604 Untermannigfaltigkeit (DE-588)4128503-7 s Trèves, François 1930- Verfasser (DE-588)107758652 aut Annals of Mathematics Studies 136 (DE-604)BV000000991 136 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006788664&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cordaro, Paulo Domingos Trèves, François 1930- Hyperfunctions on hypo-analytic manifolds Annals of Mathematics Studies CR-sous-variétés Hyperfonctions Hyperfonctions ram Manifolds gtt Sous-variétés (Mathématiques) ram Hyperfunctions Submanifolds Untermannigfaltigkeit (DE-588)4128503-7 gnd Hyperfunktion (DE-588)4161056-8 gnd |
| subject_GND | (DE-588)4128503-7 (DE-588)4161056-8 |
| title | Hyperfunctions on hypo-analytic manifolds |
| title_auth | Hyperfunctions on hypo-analytic manifolds |
| title_exact_search | Hyperfunctions on hypo-analytic manifolds |
| title_full | Hyperfunctions on hypo-analytic manifolds by Paulo D. Cordaro and François Treves |
| title_fullStr | Hyperfunctions on hypo-analytic manifolds by Paulo D. Cordaro and François Treves |
| title_full_unstemmed | Hyperfunctions on hypo-analytic manifolds by Paulo D. Cordaro and François Treves |
| title_short | Hyperfunctions on hypo-analytic manifolds |
| title_sort | hyperfunctions on hypo analytic manifolds |
| topic | CR-sous-variétés Hyperfonctions Hyperfonctions ram Manifolds gtt Sous-variétés (Mathématiques) ram Hyperfunctions Submanifolds Untermannigfaltigkeit (DE-588)4128503-7 gnd Hyperfunktion (DE-588)4161056-8 gnd |
| topic_facet | CR-sous-variétés Hyperfonctions Manifolds Sous-variétés (Mathématiques) Hyperfunctions Submanifolds Untermannigfaltigkeit Hyperfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006788664&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
| work_keys_str_mv | AT cordaropaulodomingos hyperfunctionsonhypoanalyticmanifolds AT trevesfrancois hyperfunctionsonhypoanalyticmanifolds |