The Theory of H(b) Spaces: Volume 1

Nonfiction, Science & Nature, Mathematics, Algebra, Calculus
Cover of the book The Theory of H(b) Spaces: Volume 1 by Emmanuel Fricain, Javad Mashreghi, Cambridge University Press
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Author: Emmanuel Fricain, Javad Mashreghi ISBN: 9781316053812
Publisher: Cambridge University Press Publication: May 26, 2016
Imprint: Cambridge University Press Language: English
Author: Emmanuel Fricain, Javad Mashreghi
ISBN: 9781316053812
Publisher: Cambridge University Press
Publication: May 26, 2016
Imprint: Cambridge University Press
Language: English

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.

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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.

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