Ovcyannikov theorem and hyperdifferential operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Rio de Janeiro
Inst. de Mat. Pura e Aplicada
1968
|
| Schriftenreihe: | Notas de matemática
46 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II,238 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV007088995 | ||
| 003 | DE-604 | ||
| 005 | 20030515 | ||
| 007 | t | ||
| 008 | 930421s1968 |||| 00||| eng d | ||
| 035 | |a (OCoLC)50416782 | ||
| 035 | |a (DE-599)BVBBV007088995 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 | ||
| 050 | 0 | |a QA1 | |
| 084 | |a SI 867 |0 (DE-625)143207: |2 rvk | ||
| 100 | 1 | |a Trèves, François |d 1930- |e Verfasser |0 (DE-588)107758652 |4 aut | |
| 245 | 1 | 0 | |a Ovcyannikov theorem and hyperdifferential operators |
| 264 | 1 | |a Rio de Janeiro |b Inst. de Mat. Pura e Aplicada |c 1968 | |
| 300 | |a II,238 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Notas de matemática |v 46 | |
| 650 | 7 | |a Equacoes Diferenciais Parciais |2 larpcal | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Fourier series | |
| 650 | 4 | |a Mathematical analysis |x Methodology | |
| 655 | 7 | |a Ovcygannikov-Lehrsatz |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Ovcygannikov-Lehrsatz |A f |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Notas de matemática |v 46 |w (DE-604)BV000003771 |9 46 | |
| 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=004509240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-004509240 | ||
Datensatz im Suchindex
| _version_ | 1804121270372007936 |
|---|---|
| adam_text | TABLE OF CONTENTS
1. Introduction . . .... .......... .¦. « ........ .. 1
Chapter I. The Ovcyannikov theorem
2. Statement of the Ovcyannikov theorem ,......... 11
3. Proof of the Ovcyannikov theorem 14
4. Dependence of the solution on the data 18
5. Regularity of the solution 22
6. A funct orial remark ......... . 24
7. The resolvent ... o 27
8. Regularity of the resolvent .. ,. ...... 34
9. Fundamental kernel and hypoellipticity 44
10. Existence and uniqueness of distribution solutions ..... 50
11. Application: the Cauchy Kovalevska theorem and its
transpose ,.,.... 53
12. Application: Derivation of Holmgren s theorem 59
13. Further regularity results in the constant
coefficients case.
Application: Cauchy problem for entire functions of
finite order. 63
14. Spaces K ....... 70
15. Evolution equations related to convolution
in the spaces K^ c 78
16. Local Cauchy problems with variable coefficients
in spaces K^ ....... „ ». 82
Chapter II. Hyperdifferential operators
17. Analytic functionals ........ * 91
18. The Fourier Borel transformation 99
19. The Cauchy representation 105
20. The link between the Fourier Borel transformation
and the Cauchy representation „. r... 113
21. Hyperdifferential operators* Definition 0» »o , o o o „....» 117
22. Symbols of a hyperdifferential operator»
Expression of a hyperdifferential operator by
means of its symbols 126
23. An injectivity result and other consequences
of Theorem 22.1 135
24. Compose of two hyperdifferential operators *
Symbol of a compose 145
25. Analytic functionals defined by distributions 153
26. Hyperdifferential operators preserving distributions 160
27. Hyperdifferential operators preserving
distributions. Sufficient conditions bearing
on the Fourier—Borel symbol 171
Chapter III. Resolvents of linear PDE with analytic
coefficients as hyperdifferential operators
28. The resolvents of systems of linear PDE3 with
analytic coefficients are hyperdifferential
operators 181
29. The constant coefficients caseo Garding s theorem 189
30. Almost diagonizable systems in one space variable«.... „ 198
Appendix A. Reduction of higher order systems
to first order ones « , ,. f. 0 = 000.ooooooo.oeo 209
Appendix B, Proof of the fundamental theorem
about convex carriers of analytic functionals 215
Bibliographical referenes 235
Index of main notations 237
|
| any_adam_object | 1 |
| author | Trèves, François 1930- |
| author_GND | (DE-588)107758652 |
| author_facet | Trèves, François 1930- |
| author_role | aut |
| author_sort | Trèves, François 1930- |
| author_variant | f t ft |
| building | Verbundindex |
| bvnumber | BV007088995 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 |
| callnumber-search | QA1 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 867 |
| ctrlnum | (OCoLC)50416782 (DE-599)BVBBV007088995 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01409nam a2200385 cb4500</leader><controlfield tag="001">BV007088995</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030515 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930421s1968 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)50416782</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV007088995</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-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 867</subfield><subfield code="0">(DE-625)143207:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Trèves, François</subfield><subfield code="d">1930-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)107758652</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ovcyannikov theorem and hyperdifferential operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Rio de Janeiro</subfield><subfield code="b">Inst. de Mat. Pura e Aplicada</subfield><subfield code="c">1968</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">II,238 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">Notas de matemática</subfield><subfield code="v">46</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Equacoes Diferenciais Parciais</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fourier series</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield><subfield code="x">Methodology</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Ovcygannikov-Lehrsatz</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ovcygannikov-Lehrsatz</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Notas de matemática</subfield><subfield code="v">46</subfield><subfield code="w">(DE-604)BV000003771</subfield><subfield code="9">46</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=004509240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004509240</subfield></datafield></record></collection> |
| genre | Ovcygannikov-Lehrsatz gnd |
| genre_facet | Ovcygannikov-Lehrsatz |
| id | DE-604.BV007088995 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:55:19Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004509240 |
| oclc_num | 50416782 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | II,238 S. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Inst. de Mat. Pura e Aplicada |
| record_format | marc |
| series | Notas de matemática |
| series2 | Notas de matemática |
| spelling | Trèves, François 1930- Verfasser (DE-588)107758652 aut Ovcyannikov theorem and hyperdifferential operators Rio de Janeiro Inst. de Mat. Pura e Aplicada 1968 II,238 S. txt rdacontent n rdamedia nc rdacarrier Notas de matemática 46 Equacoes Diferenciais Parciais larpcal Differential equations Fourier series Mathematical analysis Methodology Ovcygannikov-Lehrsatz gnd rswk-swf Ovcygannikov-Lehrsatz f DE-604 Notas de matemática 46 (DE-604)BV000003771 46 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004509240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trèves, François 1930- Ovcyannikov theorem and hyperdifferential operators Notas de matemática Equacoes Diferenciais Parciais larpcal Differential equations Fourier series Mathematical analysis Methodology |
| title | Ovcyannikov theorem and hyperdifferential operators |
| title_auth | Ovcyannikov theorem and hyperdifferential operators |
| title_exact_search | Ovcyannikov theorem and hyperdifferential operators |
| title_full | Ovcyannikov theorem and hyperdifferential operators |
| title_fullStr | Ovcyannikov theorem and hyperdifferential operators |
| title_full_unstemmed | Ovcyannikov theorem and hyperdifferential operators |
| title_short | Ovcyannikov theorem and hyperdifferential operators |
| title_sort | ovcyannikov theorem and hyperdifferential operators |
| topic | Equacoes Diferenciais Parciais larpcal Differential equations Fourier series Mathematical analysis Methodology |
| topic_facet | Equacoes Diferenciais Parciais Differential equations Fourier series Mathematical analysis Methodology Ovcygannikov-Lehrsatz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004509240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003771 |
| work_keys_str_mv | AT trevesfrancois ovcyannikovtheoremandhyperdifferentialoperators |