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.
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