The theory of H(b) spaces, Volume 2:
An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2016
|
| Series: | New mathematical monographs
21 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics |
| Item Description: | Title from publisher's bibliographic system (viewed on 27 Oct 2016) |
| Physical Description: | 1 online resource (xix, 619 pages) |
| ISBN: | 9781139226769 |
| DOI: | 10.1017/CBO9781139226769 |
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| 245 | 1 | 0 | |a The theory of H(b) spaces, Volume 2 |c Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec |
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| 520 | |a An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics | ||
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| author | Fricain, Emmanuel 1971- |
| author_facet | Fricain, Emmanuel 1971- |
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| author_sort | Fricain, Emmanuel 1971- |
| author_variant | e f ef |
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| contents | Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index |
| ctrlnum | (ZDB-20-CBO)CR9781139226769 (OCoLC)967758634 (DE-599)BVBBV043940059 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV043940059 |
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| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781139226769 |
| language | English |
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| spelling | Fricain, Emmanuel 1971- Verfasser aut The theory of H(b) spaces, Volume 2 Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec Cambridge Cambridge University Press 2016 1 online resource (xix, 619 pages) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 21 Title from publisher's bibliographic system (viewed on 27 Oct 2016) Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics Hilbert space Hardy spaces Analytic functions Linear operators Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Hardy-Raum (DE-588)4159109-4 s Analytische Funktion (DE-588)4142348-3 s Operatortheorie (DE-588)4075665-8 s DE-604 Mashreghi, Javad Sonstige oth Erscheint auch als Druckausgabe 978-1-107-02778-7 https://doi.org/10.1017/CBO9781139226769 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Fricain, Emmanuel 1971- The theory of H(b) spaces, Volume 2 Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index Hilbert space Hardy spaces Analytic functions Linear operators Analytische Funktion (DE-588)4142348-3 gnd Hardy-Raum (DE-588)4159109-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4159109-4 (DE-588)4159850-7 (DE-588)4075665-8 |
| title | The theory of H(b) spaces, Volume 2 |
| title_auth | The theory of H(b) spaces, Volume 2 |
| title_exact_search | The theory of H(b) spaces, Volume 2 |
| title_full | The theory of H(b) spaces, Volume 2 Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec |
| title_fullStr | The theory of H(b) spaces, Volume 2 Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec |
| title_full_unstemmed | The theory of H(b) spaces, Volume 2 Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec |
| title_short | The theory of H(b) spaces, Volume 2 |
| title_sort | the theory of h b spaces volume 2 |
| topic | Hilbert space Hardy spaces Analytic functions Linear operators Analytische Funktion (DE-588)4142348-3 gnd Hardy-Raum (DE-588)4159109-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Hilbert space Hardy spaces Analytic functions Linear operators Analytische Funktion Hardy-Raum Hilbert-Raum Operatortheorie |
| url | https://doi.org/10.1017/CBO9781139226769 |
| work_keys_str_mv | AT fricainemmanuel thetheoryofhbspacesvolume2 AT mashreghijavad thetheoryofhbspacesvolume2 |