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The Theory of H(b) Spaces
This is volume 1 of a 2 volume set.
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 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.
The Theory of H(b) Spaces: Volume 2
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.
Indian Antiquary
None
The Lion's Den (HB)
The Lion’s Den (HB) By: Frank B. Atkinson The Lion’s Den is essential reading for anyone whose confidence in American democracy has been shaken by recent events. There is plenty to discourage and alarm us these days; the supply of negative political role models, real and fictional, seems endless. Frank Atkinson leaves no doubt that we can do better and be better. Just in time, it seems, he arrives with some exemplary political characters, a powerfully uplifting story, and a summons to get to work restoring the ethic of principled citizenship and service that reflects the ‘better angels of our nature’ and offers hope for bringing Americans together again.” - LARRY J. SABATO, Directo...
