The Theory of H(b) Spaces: Volume 2

31ESW4msbzL._SY291_BO1,204,203,200_QL40_ Author Emmanuel Fricain and Javad Mashreghi
Isbn 9781107027787
File size 7.83mb
Year 2016
Pages 640
Language English
File format PDF
Category Mathematics

Book Description:

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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