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  1. Home
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  3. Hilbert Transforms
  • Cited by 30
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
2009
Online ISBN:
9780511721458
DOI:
https://doi.org/10.1017/CBO9780511721458
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Mathematical Modeling and Methods
Series:
Encyclopedia of Mathematics and its Applications (124)
Information

Book description

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.

Reviews

"The author gives detailed and exhaustive information on almost all properties of the Hilbert transform... the selected topics are presented in an easy-to-use style."
Lasha Ephremidze, Mathematical Reviews

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