Factorization of Matrix Functions and Singular Integral Operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1981
|
| Schriftenreihe: | Operator Theory: Advances and Applications
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equations which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equations. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis applications to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a representative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connections are still not well understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan |
| Beschreibung: | 1 Online-Ressource (X, 236 p) |
| ISBN: | 9783034854924 9783034854948 |
| DOI: | 10.1007/978-3-0348-5492-4 |
Internformat
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| 245 | 1 | 0 | |a Factorization of Matrix Functions and Singular Integral Operators |c by Kevin F. Clancey, Israel Gohberg |
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| 490 | 1 | |a Operator Theory: Advances and Applications |v 3 | |
| 500 | |a A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equations which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equations. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis applications to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a representative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connections are still not well understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Clancey, Kevin |
| author_GND | (DE-588)118915878 |
| author_facet | Clancey, Kevin |
| author_role | aut |
| author_sort | Clancey, Kevin |
| author_variant | k c kc |
| building | Verbundindex |
| bvnumber | BV042421871 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)857987800 (DE-599)BVBBV042421871 |
| dewey-full | 50 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 050 - General serial publications |
| dewey-raw | 50 |
| dewey-search | 50 |
| dewey-sort | 250 |
| dewey-tens | 050 - General serial publications |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-0348-5492-4 |
| format | Electronic eBook |
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| id | DE-604.BV042421871 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9783034854924 9783034854948 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857288 |
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| physical | 1 Online-Ressource (X, 236 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1981 |
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| publisher | Birkhäuser Basel |
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| series2 | Operator Theory: Advances and Applications |
| spelling | Clancey, Kevin Verfasser aut Factorization of Matrix Functions and Singular Integral Operators by Kevin F. Clancey, Israel Gohberg Basel Birkhäuser Basel 1981 1 Online-Ressource (X, 236 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 3 A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equations which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equations. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis applications to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a representative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connections are still not well understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd rswk-swf Integraloperator (DE-588)4131247-8 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Faktorzerlegung (DE-588)4472702-1 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 s Faktorzerlegung (DE-588)4472702-1 s 1\p DE-604 Integraloperator (DE-588)4131247-8 s 2\p DE-604 Matrixfunktion (DE-588)4169117-9 s 3\p DE-604 Gohberg, Yiśrāʿēl Z. 1928-2009 Sonstige (DE-588)118915878 oth Operator Theory Advances and Applications 3 (DE-604)BV035421307 3 https://doi.org/10.1007/978-3-0348-5492-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Clancey, Kevin Factorization of Matrix Functions and Singular Integral Operators Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd Integraloperator (DE-588)4131247-8 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd Faktorzerlegung (DE-588)4472702-1 gnd |
| subject_GND | (DE-588)4169117-9 (DE-588)4131247-8 (DE-588)4131249-1 (DE-588)4472702-1 |
| title | Factorization of Matrix Functions and Singular Integral Operators |
| title_auth | Factorization of Matrix Functions and Singular Integral Operators |
| title_exact_search | Factorization of Matrix Functions and Singular Integral Operators |
| title_full | Factorization of Matrix Functions and Singular Integral Operators by Kevin F. Clancey, Israel Gohberg |
| title_fullStr | Factorization of Matrix Functions and Singular Integral Operators by Kevin F. Clancey, Israel Gohberg |
| title_full_unstemmed | Factorization of Matrix Functions and Singular Integral Operators by Kevin F. Clancey, Israel Gohberg |
| title_short | Factorization of Matrix Functions and Singular Integral Operators |
| title_sort | factorization of matrix functions and singular integral operators |
| topic | Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd Integraloperator (DE-588)4131247-8 gnd Singulärer Integraloperator (DE-588)4131249-1 gnd Faktorzerlegung (DE-588)4472702-1 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Matrixfunktion Integraloperator Singulärer Integraloperator Faktorzerlegung |
| url | https://doi.org/10.1007/978-3-0348-5492-4 |
| volume_link | (DE-604)BV035421307 |
| work_keys_str_mv | AT clanceykevin factorizationofmatrixfunctionsandsingularintegraloperators AT gohbergyisraʿelz factorizationofmatrixfunctionsandsingularintegraloperators |