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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Beteilige Person: Fricain, Emmanuel 1971-
Weitere beteiligte Personen: Mashreghi, Javad
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