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The Theory of H(b) Spaces: Volume 1 (Hardcover)
Loot Price: R3,514
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The Theory of H(b) Spaces: Volume 1 (Hardcover)
Series: New Mathematical Monographs
Expected to ship within 12 - 17 working days
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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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