Microlocalization of subanalytic sheaves
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Paris
Soc. Math. de France
2013
|
| Schriftenreihe: | Mémoires de la SMF
135 |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
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| 008 | 140211s2013 xx |||| 00||| eng d | ||
| 020 | |a 9782856297681 |9 978-2-85629-768-1 | ||
| 035 | |a (OCoLC)870328020 | ||
| 035 | |a (DE-599)GBV778121046 | ||
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| 100 | 1 | |a Prelli, Luca |e Verfasser |0 (DE-588)1047399466 |4 aut | |
| 245 | 1 | 0 | |a Microlocalization of subanalytic sheaves |c Luca Prelli |
| 264 | 1 | |a Paris |b Soc. Math. de France |c 2013 | |
| 300 | |a VI, 91 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mémoires de la SMF |v 135 | |
| 830 | 0 | |a Mémoires de la SMF |v 135 |w (DE-604)BV000000921 |9 135 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082225&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082225&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027082225 | |
Datensatz im Suchindex
| DE-19_call_number | 1601/SI 690-135 |
|---|---|
| DE-19_location | 95 |
| DE-BY-UBM_katkey | 4919490 |
| DE-BY-UBM_media_number | 41620599380013 |
| DE-BY-UBR_katkey | 5356807 |
| _version_ | 1823055388857073664 |
| adam_text | CONTENTS
Introduction
.................................................................. 1
Acknowledgments
............................................................
З
1.
Review on sheaves on subanalytic sites
................................ 5
1.1.
Sheaves on subanalytic sites
............................................. 5
1.2.
Modules over a fcx^-algebra
............................................. 7
2.
Conic sheaves on subanalytic sites
...................................... 9
2.1.
Conic sheaves on topological spaces
..................................... 9
2.2.
Conic sheaves on subanalytic sites
....................................... 11
2.3.
An equivalence of categories
............................................. 14
2.4.
Derived category
........................................................ 17
2.5.
Operations
.............................................................. 21
3.
Fourier-Sato transform for subanalytic sheaves
....................... 27
3.1.
Conic sheaves on vector bundles
......................................... 27
3.2.
Fourier-Sato transformation
............................................. 30
4.
Specialization of subanalytic sheaves
................................... 35
4.1.
Review on normal deformation
.......................................... 35
4.2.
Specialization of subanalytic sheaves
.................................... 36
5.
Microlocalization of subanalytic sheaves
............................... 41
5.1.
Microlocalization of subanalytic sheaves
................................. 41
5.2.
The functor
џћот8а
..................................................... 43
5.3.
Microlocalization and
microsupport
..................................... 45
5.4.
The link with the functor
μ
of microlocalization
......................... 48
6.
Holomorphic functions with growth conditions
....................... 51
6.1.
Review on temperate and formal cohomology
........................... 51
6.2.
Tempered and Whitney holomorphic functions
.......................... 53
vi
CONTENTS
6.3.
Asymptotic expansions
.................................................. 54
6.4.
Microlocalization of Olx and O%
........................................ 58
7.
Integral transforms
....................................................... 61
7.1.
¿òr
-modules
............................................................. 61
7.2.
Integral transforms
...................................................... 62
7.3.
Microlocal
integral transformations
...................................... 72
7.4.
Contact transformations
................................................. 73
A. Review on subanalytic sets
............................................. 77
A.I. Properties of subanalytic subsets
....................................... 77
A.2. Ind-sheaves and subanalytic sites
....................................... 79
A.3. Inverse image for tempered holomorphic functions
...................... 81
A.4. Inverse image for Whitney holomorphic functions
....................... 84
Bibliography
.................................................................. 89
MÉMOIRES DE LA
SMF
135
We define the specialization and microlocalization functors for subanalytic
sheaves. Applying these tools to the sheaves of tempered and Whitney holo¬
morphic functions, we generalize some classical constructions. We also prove
that the microlocalizations of tempered and Whitney holomorphic functions
have a natural structure of module over the ring of microdifferential operators,
and are locally invariant under contact transformations.
Société
Mathématique
de
France
ФИФ
ISBN 978-2-85629-768-1
Imprimerie Sepec
- 01960
Péronnas
-
France
Dépôt légal
:
novembre
2013 - № 04615131002
9 782856я2976в1|
ISSN 0249-633-X
|
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| bvnumber | BV041641433 |
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| id | DE-604.BV041641433 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9782856297681 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027082225 |
| oclc_num | 870328020 |
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| physical | VI, 91 S. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Soc. Math. de France |
| record_format | marc |
| series | Mémoires de la SMF |
| series2 | Mémoires de la SMF |
| spellingShingle | Prelli, Luca Microlocalization of subanalytic sheaves Mémoires de la SMF |
| title | Microlocalization of subanalytic sheaves |
| title_auth | Microlocalization of subanalytic sheaves |
| title_exact_search | Microlocalization of subanalytic sheaves |
| title_full | Microlocalization of subanalytic sheaves Luca Prelli |
| title_fullStr | Microlocalization of subanalytic sheaves Luca Prelli |
| title_full_unstemmed | Microlocalization of subanalytic sheaves Luca Prelli |
| title_short | Microlocalization of subanalytic sheaves |
| title_sort | microlocalization of subanalytic sheaves |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082225&sequence=000003&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=027082225&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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