Constructive Methods of Wiener-Hopf Factorization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1986
|
| Schriftenreihe: | OT 21: Operator Theory: Advances and Applications
21 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r ... rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r· J J J J J where Aj is a square matrix of size nj x n. say. B and C are j j j matrices of sizes n. x m and m x n . respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity |
| Beschreibung: | 1 Online-Ressource (XII, 410 p) |
| ISBN: | 9783034874182 9783034874205 |
| DOI: | 10.1007/978-3-0348-7418-2 |
Internformat
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| 500 | |a The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r ... rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r· J J J J J where Aj is a square matrix of size nj x n. say. B and C are j j j matrices of sizes n. x m and m x n . respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity | ||
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Datensatz im Suchindex
| _version_ | 1804153095602569216 |
|---|---|
| any_adam_object | |
| author | Gohberg, Yiśrāʿēl Z. 1928-2009 |
| author_GND | (DE-588)118915878 (DE-588)122738497 |
| author_facet | Gohberg, Yiśrāʿēl Z. 1928-2009 |
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| author_sort | Gohberg, Yiśrāʿēl Z. 1928-2009 |
| author_variant | y z g yz yzg |
| building | Verbundindex |
| bvnumber | BV042421928 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-7418-2 |
| format | Electronic eBook |
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| id | DE-604.BV042421928 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034874182 9783034874205 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857345 |
| oclc_num | 863976968 |
| open_access_boolean | |
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| physical | 1 Online-Ressource (XII, 410 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1986 |
| publishDateSearch | 1986 |
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| publisher | Birkhäuser Basel |
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| series2 | OT 21: Operator Theory: Advances and Applications |
| spelling | Gohberg, Yiśrāʿēl Z. 1928-2009 Verfasser (DE-588)118915878 aut Constructive Methods of Wiener-Hopf Factorization edited by I. Gohberg, M. A. Kaashoek Basel Birkhäuser Basel 1986 1 Online-Ressource (XII, 410 p) txt rdacontent c rdamedia cr rdacarrier OT 21: Operator Theory: Advances and Applications 21 The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r ... rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r· J J J J J where Aj is a square matrix of size nj x n. say. B and C are j j j matrices of sizes n. x m and m x n . respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity Mathematics Mathematics, general Mathematik Operator (DE-588)4130529-2 gnd rswk-swf Konstruktive Methode (DE-588)4165106-6 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Wiener-Hopf-Faktorisierung (DE-588)4128926-2 gnd rswk-swf Faktor Algebra (DE-588)4234581-9 gnd rswk-swf Wiener-Hopf-Faktorisierung (DE-588)4128926-2 s Konstruktive Methode (DE-588)4165106-6 s 1\p DE-604 Operator (DE-588)4130529-2 s 2\p DE-604 Funktion Mathematik (DE-588)4071510-3 s 3\p DE-604 Faktor Algebra (DE-588)4234581-9 s 4\p DE-604 Kaashoek, Marinus A. 1937- Sonstige (DE-588)122738497 oth https://doi.org/10.1007/978-3-0348-7418-2 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gohberg, Yiśrāʿēl Z. 1928-2009 Constructive Methods of Wiener-Hopf Factorization Mathematics Mathematics, general Mathematik Operator (DE-588)4130529-2 gnd Konstruktive Methode (DE-588)4165106-6 gnd Funktion Mathematik (DE-588)4071510-3 gnd Wiener-Hopf-Faktorisierung (DE-588)4128926-2 gnd Faktor Algebra (DE-588)4234581-9 gnd |
| subject_GND | (DE-588)4130529-2 (DE-588)4165106-6 (DE-588)4071510-3 (DE-588)4128926-2 (DE-588)4234581-9 |
| title | Constructive Methods of Wiener-Hopf Factorization |
| title_auth | Constructive Methods of Wiener-Hopf Factorization |
| title_exact_search | Constructive Methods of Wiener-Hopf Factorization |
| title_full | Constructive Methods of Wiener-Hopf Factorization edited by I. Gohberg, M. A. Kaashoek |
| title_fullStr | Constructive Methods of Wiener-Hopf Factorization edited by I. Gohberg, M. A. Kaashoek |
| title_full_unstemmed | Constructive Methods of Wiener-Hopf Factorization edited by I. Gohberg, M. A. Kaashoek |
| title_short | Constructive Methods of Wiener-Hopf Factorization |
| title_sort | constructive methods of wiener hopf factorization |
| topic | Mathematics Mathematics, general Mathematik Operator (DE-588)4130529-2 gnd Konstruktive Methode (DE-588)4165106-6 gnd Funktion Mathematik (DE-588)4071510-3 gnd Wiener-Hopf-Faktorisierung (DE-588)4128926-2 gnd Faktor Algebra (DE-588)4234581-9 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Operator Konstruktive Methode Funktion Mathematik Wiener-Hopf-Faktorisierung Faktor Algebra |
| url | https://doi.org/10.1007/978-3-0348-7418-2 |
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