The theory of H(b) spaces. Volume 1 /

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Bibliographic Details
Author / Creator:Fricain, Emmanuel, 1971- author.
Imprint:Cambridge, United Kingdom : Cambridge University Press, 2016.
Description:1 online resource (xix, 681 pages) : illustrations
Language:English
Series:New mathematical monographs ; v. 20
New mathematical monographs ; 20.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13539896
Hidden Bibliographic Details
Other authors / contributors:Mashreghi, Javad, author.
ISBN:9781316072721
131607272X
9781107027770
1107027772
Notes:Includes bibliographical references and indexes.
Online resource; title from PDF title page (EBSCO, viewed September 19, 2016).
Summary:An H(b) space is defined as a collection of analytic functions which 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. The first volume 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. The second volume 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.