Operator Theory and Ill-Posed Problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
De Gruyter
2006
|
| Schriftenreihe: | Inverse and Ill-Posed Problems Series
50 |
| Online-Zugang: | Volltext |
| Beschreibung: | Biographical note: Mikhail M. Lavrent'ev †; Lev Ja. Savel'ev, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia Main description: This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments |
| Beschreibung: | 1 Online-Ressource (XVI, 680 S.) |
| ISBN: | 9789067644488 9783110960723 9783111828251 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042356042 | ||
| 003 | DE-604 | ||
| 005 | 20201118 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150212s2006 |||| o||u| ||||||eng d | ||
| 020 | |a 9789067644488 |c print |9 978-90-6764-448-8 | ||
| 020 | |a 9783110960723 |9 978-3-11-096072-3 | ||
| 020 | |a 9783110960723 |9 978-3-11-096072-3 | ||
| 020 | |a 9783111828251 |9 978-3-11-182825-1 | ||
| 024 | 7 | |a 10.1515/9783110960723 |2 doi | |
| 035 | |a (OCoLC)840446279 | ||
| 035 | |a (DE-599)BVBBV042356042 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-859 |a DE-860 |a DE-Aug4 |a DE-739 |a DE-1046 |a DE-706 |a DE-703 |a DE-1043 |a DE-858 |a DE-19 | ||
| 100 | 1 | |a Savel'ev, Lev Ja |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Operator Theory and Ill-Posed Problems |
| 264 | 1 | |a Berlin |b De Gruyter |c 2006 | |
| 300 | |a 1 Online-Ressource (XVI, 680 S.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Inverse and Ill-Posed Problems Series |v 50 | |
| 500 | |a Biographical note: Mikhail M. Lavrent'ev †; Lev Ja. Savel'ev, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia | ||
| 500 | |a Main description: This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments | ||
| 700 | 1 | |a Lavrentʹev, Michail Michajlovič |d 1932-2010 |e Sonstige |0 (DE-588)135733200 |4 oth | |
| 856 | 4 | 0 | |u http://www.degruyter.com/doi/book/10.1515/9783110960723 |x Verlag |3 Volltext |
| 912 | |a ZDB-23-DGG |a ZDB-23-GMA |a ZDB-23-GBA | ||
| 940 | 1 | |q FKE_PDA_DGG | |
| 940 | 1 | |q FLA_PDA_DGG | |
| 940 | 1 | |q FHA_PDA_DGG | |
| 940 | 1 | |q UPA_PDA_DGG | |
| 940 | 1 | |q FAW_PDA_DGG | |
| 940 | 1 | |q FCO_PDA_DGG | |
| 940 | 1 | |q ZDB-23-GBA_2000/2014 | |
| 940 | 1 | |q ZDB-23-GMA_2000/2014 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027792523 | ||
Datensatz im Suchindex
| _version_ | 1804152983748870144 |
|---|---|
| any_adam_object | |
| author | Savel'ev, Lev Ja |
| author_GND | (DE-588)135733200 |
| author_facet | Savel'ev, Lev Ja |
| author_role | aut |
| author_sort | Savel'ev, Lev Ja |
| author_variant | l j s lj ljs |
| building | Verbundindex |
| bvnumber | BV042356042 |
| collection | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA |
| ctrlnum | (OCoLC)840446279 (DE-599)BVBBV042356042 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03193nmm a2200469zcb4500</leader><controlfield tag="001">BV042356042</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20201118 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150212s2006 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789067644488</subfield><subfield code="c">print</subfield><subfield code="9">978-90-6764-448-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110960723</subfield><subfield code="9">978-3-11-096072-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110960723</subfield><subfield code="9">978-3-11-096072-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783111828251</subfield><subfield code="9">978-3-11-182825-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110960723</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)840446279</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042356042</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Savel'ev, Lev Ja</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Operator Theory and Ill-Posed Problems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVI, 680 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">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">Inverse and Ill-Posed Problems Series</subfield><subfield code="v">50</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Biographical note: Mikhail M. Lavrent'ev †; Lev Ja. Savel'ev, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Main description: This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lavrentʹev, Michail Michajlovič</subfield><subfield code="d">1932-2010</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)135733200</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.degruyter.com/doi/book/10.1515/9783110960723</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-GMA</subfield><subfield code="a">ZDB-23-GBA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FKE_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FHA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UPA_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FCO_PDA_DGG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-23-GBA_2000/2014</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-23-GMA_2000/2014</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027792523</subfield></datafield></record></collection> |
| id | DE-604.BV042356042 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:23Z |
| institution | BVB |
| isbn | 9789067644488 9783110960723 9783111828251 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027792523 |
| oclc_num | 840446279 |
| open_access_boolean | |
| owner | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-706 DE-703 DE-1043 DE-858 DE-19 DE-BY-UBM |
| owner_facet | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-706 DE-703 DE-1043 DE-858 DE-19 DE-BY-UBM |
| physical | 1 Online-Ressource (XVI, 680 S.) |
| psigel | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA FKE_PDA_DGG FLA_PDA_DGG FHA_PDA_DGG UPA_PDA_DGG FAW_PDA_DGG FCO_PDA_DGG ZDB-23-GBA_2000/2014 ZDB-23-GMA_2000/2014 |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | Inverse and Ill-Posed Problems Series |
| spelling | Savel'ev, Lev Ja Verfasser aut Operator Theory and Ill-Posed Problems Berlin De Gruyter 2006 1 Online-Ressource (XVI, 680 S.) txt rdacontent c rdamedia cr rdacarrier Inverse and Ill-Posed Problems Series 50 Biographical note: Mikhail M. Lavrent'ev †; Lev Ja. Savel'ev, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia Main description: This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments Lavrentʹev, Michail Michajlovič 1932-2010 Sonstige (DE-588)135733200 oth http://www.degruyter.com/doi/book/10.1515/9783110960723 Verlag Volltext |
| spellingShingle | Savel'ev, Lev Ja Operator Theory and Ill-Posed Problems |
| title | Operator Theory and Ill-Posed Problems |
| title_auth | Operator Theory and Ill-Posed Problems |
| title_exact_search | Operator Theory and Ill-Posed Problems |
| title_full | Operator Theory and Ill-Posed Problems |
| title_fullStr | Operator Theory and Ill-Posed Problems |
| title_full_unstemmed | Operator Theory and Ill-Posed Problems |
| title_short | Operator Theory and Ill-Posed Problems |
| title_sort | operator theory and ill posed problems |
| url | http://www.degruyter.com/doi/book/10.1515/9783110960723 |
| work_keys_str_mv | AT savelevlevja operatortheoryandillposedproblems AT lavrentʹevmichailmichajlovic operatortheoryandillposedproblems |