An introduction to involutive structures:
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in t...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Series: | New mathematical monographs
6 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xii, 392 pages) |
| ISBN: | 9780511543067 |
| DOI: | 10.1017/CBO9780511543067 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941970 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2008 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511543067 |c Online |9 978-0-511-54306-7 | ||
| 024 | 7 | |a 10.1017/CBO9780511543067 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511543067 | ||
| 035 | |a (OCoLC)850829837 | ||
| 035 | |a (DE-599)BVBBV043941970 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 515.63 |2 22 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 100 | 1 | |a Berhanu, Shiferaw |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to involutive structures |c Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2008 | |
| 300 | |a 1 online resource (xii, 392 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a New mathematical monographs |v 6 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas | |
| 520 | |a Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject | ||
| 650 | 4 | |a Vector fields | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Bivectors | |
| 650 | 4 | |a Approximation theory | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Vektorfeld |0 (DE-588)4139571-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Vektorfeld |0 (DE-588)4139571-2 |D s |
| 689 | 0 | 2 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Cordaro, Paulo D. |e Sonstige |4 oth | |
| 700 | 1 | |a Hounie, Jorge |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-87857-9 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511543067 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029350940 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511543067 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511543067 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176884308639744 |
|---|---|
| any_adam_object | |
| author | Berhanu, Shiferaw |
| author_facet | Berhanu, Shiferaw |
| author_role | aut |
| author_sort | Berhanu, Shiferaw |
| author_variant | s b sb |
| building | Verbundindex |
| bvnumber | BV043941970 |
| classification_rvk | SK 540 |
| collection | ZDB-20-CBO |
| contents | Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas |
| ctrlnum | (ZDB-20-CBO)CR9780511543067 (OCoLC)850829837 (DE-599)BVBBV043941970 |
| dewey-full | 515.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.63 |
| dewey-search | 515.63 |
| dewey-sort | 3515.63 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511543067 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03457nmm a2200577zcb4500</leader><controlfield tag="001">BV043941970</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2008 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511543067</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-54306-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511543067</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511543067</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)850829837</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941970</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</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-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.63</subfield><subfield code="2">22</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="100" ind1="1" ind2=" "><subfield code="a">Berhanu, Shiferaw</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to involutive structures</subfield><subfield code="c">Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 392 pages)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">New mathematical monographs</subfield><subfield code="v">6</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vector fields</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bivectors</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Vektorfeld</subfield><subfield code="0">(DE-588)4139571-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cordaro, Paulo D.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hounie, Jorge</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-87857-9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511543067</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350940</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511543067</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511543067</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043941970 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511543067 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350940 |
| oclc_num | 850829837 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 392 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | New mathematical monographs |
| spelling | Berhanu, Shiferaw Verfasser aut An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie Cambridge Cambridge University Press 2008 1 online resource (xii, 392 pages) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 6 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Vektorfeld (DE-588)4139571-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Vektorfeld (DE-588)4139571-2 s Approximationstheorie (DE-588)4120913-8 s 1\p DE-604 Cordaro, Paulo D. Sonstige oth Hounie, Jorge Sonstige oth Erscheint auch als Druckausgabe 978-0-521-87857-9 https://doi.org/10.1017/CBO9780511543067 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berhanu, Shiferaw An introduction to involutive structures Locally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximationstheorie (DE-588)4120913-8 gnd Vektorfeld (DE-588)4139571-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4120913-8 (DE-588)4139571-2 |
| title | An introduction to involutive structures |
| title_auth | An introduction to involutive structures |
| title_exact_search | An introduction to involutive structures |
| title_full | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_fullStr | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_full_unstemmed | An introduction to involutive structures Shiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie |
| title_short | An introduction to involutive structures |
| title_sort | an introduction to involutive structures |
| topic | Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Approximationstheorie (DE-588)4120913-8 gnd Vektorfeld (DE-588)4139571-2 gnd |
| topic_facet | Vector fields Differential equations, Partial Bivectors Approximation theory Partielle Differentialgleichung Approximationstheorie Vektorfeld |
| url | https://doi.org/10.1017/CBO9780511543067 |
| work_keys_str_mv | AT berhanushiferaw anintroductiontoinvolutivestructures AT cordaropaulod anintroductiontoinvolutivestructures AT houniejorge anintroductiontoinvolutivestructures |