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Hilbert Transforms

Volume 2


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: May 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521517201

£ 161.00

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About the Authors
  • The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader. It explains all the common Hilbert transforms, mathematical techniques for evaluating them, and has detailed discussions of their application. Especially useful for researchers are the tabulation of analytically evaluated Hilbert transforms, and an atlas that immediately illustrates how the Hilbert transform alters a function. A collection of exercises helps the reader to test their understanding of the material in each chapter. The bibliography is a wide-ranging collection of references both to the classical mathematical papers, and to a diverse array of applications.

    • Informal style opens up the material to anyone working in the physical sciences
    • The only book to contain an extensive table of Hilbert transforms, and it has a mini atlas to show reader immediately how the Hilbert transform alters a function
    • Exercises are included to help test understanding, and a large bibliography points to classical papers and a wide range of applications
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    Reviews & endorsements

    '… every scientist dealing with the Hilbert transform in his or her research will find valuable material in this work.' Lasha Ephremidze, Mathematical Reviews

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    Product details

    • Date Published: May 2009
    • format: Hardback
    • isbn: 9780521517201
    • length: 698 pages
    • dimensions: 240 x 164 x 41 mm
    • weight: 1.22kg
    • contains: 145 exercises
    • availability: Available
  • Table of Contents

    List of symbols
    List of abbreviations
    Volume II:
    15. Hilbert transforms in En
    16. Some further extensions of the classical Hilbert transform
    17. Linear systems and causality
    18. The Hilbert transform of waveforms and signal processing
    19. Kramers–Kronig relations
    20. Dispersion relations for some linear optical properties
    21. Dispersion relations for magneto-optical and natural optical activity
    22. Dispersion relations for nonlinear optical properties
    23. Some further applications of Hilbert transforms
    Appendix 1. Table of selected Hilbert transforms
    Appendix 2. Atlas of selected Hilbert transform pairs
    Subject index
    Author index.

  • Author

    Frederick W. King, University of Wisconsin, Eau Claire
    Frederick W. King is a Professor in the Department of Chemistry at the University of Wisconsin-Eau Claire.

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