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The Theory of H(b) Spaces: Volume 1

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Title: The Theory of H(b) Spaces: Volume 1
Description: 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.
Authors: Emmanuel Fricain, Javad Mashreghi
Resource Type: eBook.
Subjects: Linear operators, Hilbert space, Hardy spaces, Analytic functions
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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PubType: eBook
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  Data: 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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  Data: <searchLink fieldCode="DE" term="%22Linear+operators%22">Linear operators</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Hardy+spaces%22">Hardy spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Analytic+functions%22">Analytic functions</searchLink>
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      – Code: 515.733
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Linear operators
        Type: general
      – SubjectFull: Hilbert space
        Type: general
      – SubjectFull: Hardy spaces
        Type: general
      – SubjectFull: Analytic functions
        Type: general
    Titles:
      – TitleFull: The Theory of H(b) Spaces: Volume 1
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Emmanuel Fricain
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          Name:
            NameFull: Javad Mashreghi
      – PersonEntity:
          Name:
            NameFull: Emmanuel Fricain
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          Name:
            NameFull: Javad Mashreghi
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 20
              M: 09
              Type: profile
              Y: 2016
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              Value: 9781107027770
            – Type: isbn-electronic
              Value: 9781316072721
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            – Type: volume
              Value: 00001
          Titles:
            – TitleFull: The Theory of H(b) Spaces: Volume 1
              Type: main
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