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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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
Schriftenreihe: | New mathematical monographs
21 |
Links: | https://doi.org/10.1017/CBO9781139226769 |
Zusammenfassung: | 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. |
Umfang: | 1 Online-Ressource (xix, 619 Seiten) |
ISBN: | 9781139226769 |
Internformat
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100 | 1 | |a Fricain, Emmanuel |d 1971- | |
245 | 1 | 4 | |a The theory of H(b) spaces |n Volume 2 |c Emmanuel Fricain, Université Lille I, Javad Mashreghi, Université Laval, Quebec |
264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
300 | |a 1 Online-Ressource (xix, 619 Seiten) | ||
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490 | 1 | |a New mathematical monographs |v 21 | |
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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spelling | Fricain, Emmanuel 1971- 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-Ressource (xix, 619 Seiten) txt c cr New mathematical monographs 21 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. Mashreghi, Javad Erscheint auch als Druck-Ausgabe 9781107027787 |
spellingShingle | Fricain, Emmanuel 1971- The theory of H(b) spaces |
title | The theory of H(b) spaces |
title_auth | The theory of H(b) spaces |
title_exact_search | The theory of H(b) spaces |
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 |
title_sort | theory of h b spaces |
work_keys_str_mv | AT fricainemmanuel thetheoryofhbspacesvolume2 AT mashreghijavad thetheoryofhbspacesvolume2 AT fricainemmanuel theoryofhbspacesvolume2 AT mashreghijavad theoryofhbspacesvolume2 |