An introduction to Hankel operators

Bibliographic Information

An introduction to Hankel operators

Jonathan R. Partington

(London Mathematical Society student texts, 13)

Cambridge University Press, 1988

  • : hard
  • : pbk

Available at  / 54 libraries

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Note

Bibliography: p. 96-98

Includes index

Description and Table of Contents

Description

Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.

Table of Contents

  • Introduction
  • 1. Compact operators on a hilbert space
  • 2. Hardy spaces
  • 3. Basic properties of hankel operators
  • 4. Hankel operators on the half plane
  • 5. Linear systems and H
  • 6. Hankel-norm approximation
  • 7. Special classes of hankel operator
  • Appendix
  • Exercises
  • Bibliography
  • Index.

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Details

  • NCID
    BA06621900
  • ISBN
    • 0521366119
    • 0521367913
  • LCCN
    88029429
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge ; New York
  • Pages/Volumes
    103 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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