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Theory of H(b) spaces (2 vols. set)

By: Contributor(s): Material type: TextTextSeries: New mathematical monographsPublication details: Cambridge University Press 2016 CambridgeDescription: Vol. 1: xix, 681 p. Vol. 2: xix, 619 pISBN:
  • 9781107119413
Subject(s): DDC classification:
  • 515.733 F7T4
Summary: 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. https://www.cambridge.org/core/books/the-theory-of-ihiibi-spaces/670AA76D0295676A602D4CF012D328A6
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Holdings
Item type Current library Item location Collection Shelving location Call number Status Notes Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1381 (0 Floor, East Wing) Non-fiction General Stacks 515.733 F7T4-I (Browse shelf(Opens below)) Available Vol. 1 194924
Books Vikram Sarabhai Library Rack 28-A / Slot 1381 (0 Floor, East Wing) Non-fiction General Stacks 515.733 F7T4-II (Browse shelf(Opens below)) Available Vol. 2 194927

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.

https://www.cambridge.org/core/books/the-theory-of-ihiibi-spaces/670AA76D0295676A602D4CF012D328A6

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