The theory of H(b) spaces, Volume 1

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 devot...

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Main Authors: Fricain, Emmanuel, Mashreghi, Javad (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2016
Series:New mathematical monographs
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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
Physical Description:xix, 681 pages digital
ISBN:9781139226752