Toeplitz matrices and operators:
The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others....
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| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2020
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| Series: | Cambridge studies in advanced mathematics
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| Subjects: | |
| Online Access: | BSB01 FHN01 UBA01 Volltext |
| Summary: | The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener-Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory |
| Item Description: | Originally published as: Matrices et opérateurs de Toeplitz by Calvage et Mounet, 2017 Title from publisher's bibliographic system (viewed on 18 Dec 2019) |
| Physical Description: | 1 Online-Ressource (xxii, 430 Seiten) |
| ISBN: | 9781108182577 |
| DOI: | 10.1017/9781108182577 |
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| 490 | 0 | |a Cambridge studies in advanced mathematics | |
| 500 | |a Originally published as: Matrices et opérateurs de Toeplitz by Calvage et Mounet, 2017 | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 18 Dec 2019) | ||
| 520 | |a The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener-Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory | ||
| 650 | 4 | |a Toeplitz matrices | |
| 650 | 4 | |a Toeplitz operators | |
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| 653 | 0 | |a Toeplitz matrices | |
| 653 | 0 | |a Toeplitz operators | |
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Record in the Search Index
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| author | Nikolski, Nikolai K. 1940- |
| author2 | Gibbons, Danièle ca. 20./21. Jh Gibbons, Greg ca. 20./21. Jh |
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| dewey-full | 512.9/434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/434 |
| dewey-search | 512.9/434 |
| dewey-sort | 3512.9 3434 |
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| discipline | Mathematik |
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| id | DE-604.BV046318509 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:41:29Z |
| institution | BVB |
| isbn | 9781108182577 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031695569 |
| oclc_num | 1135423811 |
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| owner_facet | DE-384 DE-12 DE-92 |
| physical | 1 Online-Ressource (xxii, 430 Seiten) |
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| publishDate | 2020 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge studies in advanced mathematics |
| spelling | Nikolski, Nikolai K. 1940- Verfasser (DE-588)12430382X aut Matrices et opérateurs de Toeplitz Toeplitz matrices and operators Nikolaï Nikolski ; translated by Danièle Gibbons, Greg Gibbons Cambridge, United Kingdom ; New York, NY Cambridge University Press 2020 1 Online-Ressource (xxii, 430 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics Originally published as: Matrices et opérateurs de Toeplitz by Calvage et Mounet, 2017 Title from publisher's bibliographic system (viewed on 18 Dec 2019) The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener-Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory Toeplitz matrices Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd rswk-swf Hankel-Matrix (DE-588)4159080-6 gnd rswk-swf Toeplitz-Matrix (DE-588)4185611-9 gnd rswk-swf Hankel-Matrix (DE-588)4159080-6 s 1\p DE-604 Toeplitz-Operator (DE-588)4191521-5 s 2\p DE-604 Toeplitz-Matrix (DE-588)4185611-9 s 3\p DE-604 Gibbons, Danièle ca. 20./21. Jh. (DE-588)1203756402 trl Gibbons, Greg ca. 20./21. Jh. (DE-588)1203756526 trl Erscheint auch als Druck-Ausgabe 978-1-107-19850-0 https://doi.org/10.1017/9781108182577 Verlag URL des Erstveröffentlichers 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 | Nikolski, Nikolai K. 1940- Toeplitz matrices and operators Toeplitz matrices Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Hankel-Matrix (DE-588)4159080-6 gnd Toeplitz-Matrix (DE-588)4185611-9 gnd |
| subject_GND | (DE-588)4191521-5 (DE-588)4159080-6 (DE-588)4185611-9 |
| title | Toeplitz matrices and operators |
| title_alt | Matrices et opérateurs de Toeplitz |
| title_auth | Toeplitz matrices and operators |
| title_exact_search | Toeplitz matrices and operators |
| title_full | Toeplitz matrices and operators Nikolaï Nikolski ; translated by Danièle Gibbons, Greg Gibbons |
| title_fullStr | Toeplitz matrices and operators Nikolaï Nikolski ; translated by Danièle Gibbons, Greg Gibbons |
| title_full_unstemmed | Toeplitz matrices and operators Nikolaï Nikolski ; translated by Danièle Gibbons, Greg Gibbons |
| title_short | Toeplitz matrices and operators |
| title_sort | toeplitz matrices and operators |
| topic | Toeplitz matrices Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Hankel-Matrix (DE-588)4159080-6 gnd Toeplitz-Matrix (DE-588)4185611-9 gnd |
| topic_facet | Toeplitz matrices Toeplitz operators Toeplitz-Operator Hankel-Matrix Toeplitz-Matrix |
| url | https://doi.org/10.1017/9781108182577 |
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