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An Introduction to Hilbert Space

An Introduction to Hilbert Space

$82.99

textbook
  • Date Published: July 1988
  • availability: Available
  • format: Paperback
  • isbn: 9780521337175

$ 82.99
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  • This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. It is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). Thus it will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

    Reviews & endorsements

    ' … the author's style is a delight. Each topic is carefully motivated and succinctly presented, and the exposition is enthusiastic and limpid … Young has done a really fine job in presenting a subject of great mathematical elegance as well as genuine utility, and I recommend it heartily.' The Times Higher Education Supplement

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    Product details

    • Date Published: July 1988
    • format: Paperback
    • isbn: 9780521337175
    • length: 250 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.41kg
    • availability: Available
  • Table of Contents

    Foreword
    Introduction
    1. Inner product spaces
    2. Normed spaces
    3. Hilbert and Banach spaces
    4. Orthogonal expansions
    5. Classical Fourier series
    6. Dual spaces
    7. Linear operators
    8. Compact operators
    9. Sturm-Liouville systems
    10. Green's functions
    11. Eigenfunction expansions
    12. Positive operators and contractions
    13. Hardy spaces
    14. Interlude: complex analysis and operators in engineering
    15. Approximation by analytic functions
    16. Approximation by meromorphic functions
    Appendix
    References
    Answers to selected problems
    Afterword
    Index of notation
    Subject index.

  • Instructors have used or reviewed this title for the following courses

    • Functional Analysis
  • Author

    N. Young

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