Over the last two years, wavelet methods have shown themselves to
be of considerable use to harmonic analysts and, in particular,
advances have been made concerning their applications. The strength
of wavelet methods lies in their ability to describe local
phenomena more accurately than a traditional expansion in sines and
cosines can. Thus, wavelets are ideal in many fields where an
approach to transient behaviour is needed, for example, in
considering acoustic or seismic signals, or in image processing.
Yves Meyer stands the theory of wavelets firmly upon solid ground
by basing his book on the fundamental work of Calderon, Zygmund and
their collaborators. For anyone who would like an introduction to
wavelets, this book will prove to be a necessary purchase.
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