Systems of microdifferential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1983
|
| Series: | Progress in mathematics
34 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 159 S. |
| ISBN: | 0817631380 3764331380 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000227876 | ||
| 003 | DE-604 | ||
| 005 | 20211207 | ||
| 007 | t | ||
| 008 | 870612s1983 |||| 10||| eng d | ||
| 020 | |a 0817631380 |9 0-8176-3138-0 | ||
| 020 | |a 3764331380 |9 3-7643-3138-0 | ||
| 035 | |a (OCoLC)9758000 | ||
| 035 | |a (DE-599)BVBBV000227876 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-Aug4 |a DE-703 |a DE-739 |a DE-355 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA372 | |
| 082 | 0 | |a 515.3/54 |2 19 | |
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a MAT 552f |2 stub | ||
| 084 | |a 32Cxx |2 msc | ||
| 084 | |a 58Gxx |2 msc | ||
| 084 | |a MAT 359f |2 stub | ||
| 084 | |a 14Fxx |2 msc | ||
| 100 | 1 | |a Kashiwara, Masaki |d 1947- |e Verfasser |0 (DE-588)122204344 |4 aut | |
| 240 | 1 | 0 | |a Systèmes d'équations micro-differentielles |
| 245 | 1 | 0 | |a Systems of microdifferential equations |c Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1983 | |
| 300 | |a XV, 159 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 34 | |
| 650 | 4 | |a Équations différentielles linéaires | |
| 650 | 4 | |a Differential equations, Linear | |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Progress in mathematics |v 34 |w (DE-604)BV000004120 |9 34 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000136435 | ||
Record in the Search Index
| _version_ | 1804114691001155584 |
|---|---|
| adam_text | CONTENTS
Page
Introduction vii
CHAPTER 1.
Microfunctions 1
1. The sheaves Jo and G 1
2. ComonoVdal Transformation and Construction of
Sheaves of Microfunctions 4
3. Operations 6
k. Microdifferential Operators 11
CHAPTER 2.
Microdifferential Systems 13
0. Introduction: Filtered Rings and Modules over a
Filtered Ring 13
1. Microdifferential systems: an Introduction. 16
2. Sheaves of Operators. Division Theorems 19
3. §.. modules 27
k. Quantized Contact Transformations 31
a) Sympletic geometry 31
b) Quantized Contact Transformations 33
5. Operations 38
a) Restriction 38
b) Cauchy Problem for 3^ modules 42
6. Multiplicity of§ .. modules 46
a) Multiplicity of 8^ modules 46
b) Multipl icity of ^ modules 51
CHAPTER 3
Structure of Coherent ^ modules 59
1. Structure of the Systems with Support Contained in
(C, = 0) 59
2. Structure of Holonomic Systems 70
VI
CHAPTER 4.
Holomorphic Solutions of Systems of Partial Differential
Equations 97
1 A Few Facts About the Complex Structure 97
2. Statement of the Extension Theorem 98
a) Mittag Leffler s condition 98
b) Proof of Theorem it.2.1 104
CHAPTER 5
Solutions of Holonomic Systems 111
CHAPTER 6.
Index Theorem 119
1. Topological Index I. 119
2. Topological index I I 123
3. Index Theorem 126
APPENDIX 1
Derived Categories and Functors 30
Bibliography 144
APPENDIX 2
Whitney Stratification and Constructible Sheaves 145
1. Locally Constant Sheaves 145
2. Whitney Stratification 146
3. Constructible Sheaves 148
4. Whitney Stratification on Analytic Spaces 149
Bi bliography 150
REFERENCES 156
|
| any_adam_object | 1 |
| author | Kashiwara, Masaki 1947- |
| author_GND | (DE-588)122204344 |
| author_facet | Kashiwara, Masaki 1947- |
| author_role | aut |
| author_sort | Kashiwara, Masaki 1947- |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV000227876 |
| callnumber-first | Q - Science |
| callnumber-label | QA372 |
| callnumber-raw | QA372 |
| callnumber-search | QA372 |
| callnumber-sort | QA 3372 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 SK 240 SK 540 |
| classification_tum | MAT 552f MAT 359f |
| ctrlnum | (OCoLC)9758000 (DE-599)BVBBV000227876 |
| dewey-full | 515.3/54 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/54 |
| dewey-search | 515.3/54 |
| dewey-sort | 3515.3 254 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02056nam a2200517 cb4500</leader><controlfield tag="001">BV000227876</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211207 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1983 |||| 10||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817631380</subfield><subfield code="9">0-8176-3138-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764331380</subfield><subfield code="9">3-7643-3138-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)9758000</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000227876</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA372</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.3/54</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 552f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">32Cxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58Gxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 359f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14Fxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kashiwara, Masaki</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122204344</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Systèmes d'équations micro-differentielles</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Systems of microdifferential equations</subfield><subfield code="c">Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 159 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Progress in mathematics</subfield><subfield code="v">34</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations différentielles linéaires</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Linear</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in mathematics</subfield><subfield code="v">34</subfield><subfield code="w">(DE-604)BV000004120</subfield><subfield code="9">34</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000136435</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV000227876 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:44Z |
| institution | BVB |
| isbn | 0817631380 3764331380 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000136435 |
| oclc_num | 9758000 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-Aug4 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-Aug4 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | XV, 159 S. |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Kashiwara, Masaki 1947- Verfasser (DE-588)122204344 aut Systèmes d'équations micro-differentielles Systems of microdifferential equations Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski Boston [u.a.] Birkhäuser 1983 XV, 159 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 34 Équations différentielles linéaires Differential equations, Linear Differentialgleichung (DE-588)4012249-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Differentialgleichung (DE-588)4012249-9 s DE-604 Progress in mathematics 34 (DE-604)BV000004120 34 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kashiwara, Masaki 1947- Systems of microdifferential equations Progress in mathematics Équations différentielles linéaires Differential equations, Linear Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)1071861417 |
| title | Systems of microdifferential equations |
| title_alt | Systèmes d'équations micro-differentielles |
| title_auth | Systems of microdifferential equations |
| title_exact_search | Systems of microdifferential equations |
| title_full | Systems of microdifferential equations Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski |
| title_fullStr | Systems of microdifferential equations Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski |
| title_full_unstemmed | Systems of microdifferential equations Masaki Kashiwara. Notes and transl. by Teresa Monteiro Fernandes. Introduction by Jean-Luc Brylinski |
| title_short | Systems of microdifferential equations |
| title_sort | systems of microdifferential equations |
| topic | Équations différentielles linéaires Differential equations, Linear Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Équations différentielles linéaires Differential equations, Linear Differentialgleichung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000136435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT kashiwaramasaki systemesdequationsmicrodifferentielles AT kashiwaramasaki systemsofmicrodifferentialequations |