The Theory of H(b) Spaces. volume 1 /

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Bibliographic Details
Author / Creator:Fricain, Emmanuel, author.
Imprint:Cambridge : Cambridge University Press, 2016.
©2016
Description:1 online resource (xix, 681 pages)
Language:English
Series:New Mathematical Monographs ; 20
New mathematical monographs ; 20.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13545142
Hidden Bibliographic Details
Other authors / contributors:Mashreghi, Javad, author.
ISBN:9781139226752
1139226754
9781316357927
1316357929
9781107027770
1107027772
9781107119413
9781107027787
1107027780
Notes:Includes bibliographical references and indexes.
Print version record.
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.
Other form:Print version: Fricain, Emmanuel, 1971- Theory of H(b) spaces. Cambridge, United Kingdom : Cambridge University Press, 2016 9781107119413