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The Theory of H(b) Spaces: Volume 2

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Title: The Theory of H(b) Spaces: Volume 2
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.
Authors: Emmanuel Fricain, Javad Mashreghi
Resource Type: eBook.
Subjects: Hardy spaces, Hilbert space, Analytic functions, Linear operators
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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  Data: 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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  Data: <searchLink fieldCode="DE" term="%22Hardy+spaces%22">Hardy spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Analytic+functions%22">Analytic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+operators%22">Linear operators</searchLink>
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      – Code: 515.733
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Hardy spaces
        Type: general
      – SubjectFull: Hilbert space
        Type: general
      – SubjectFull: Analytic functions
        Type: general
      – SubjectFull: Linear operators
        Type: general
    Titles:
      – TitleFull: The Theory of H(b) Spaces: Volume 2
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Emmanuel Fricain
      – PersonEntity:
          Name:
            NameFull: Javad Mashreghi
      – PersonEntity:
          Name:
            NameFull: Emmanuel Fricain
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            NameFull: Javad Mashreghi
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 14
              M: 10
              Type: profile
              Y: 2016
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              Value: 9781107027787
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              Value: 9781316357927
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            – Type: volume
              Value: 00001
          Titles:
            – TitleFull: The Theory of H(b) Spaces: Volume 2
              Type: main
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