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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Wavelet Theory and Its Applications (Hardcover, 1993 ed.)
Loot Price: R4,485
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Wavelet Theory and Its Applications (Hardcover, 1993 ed.)
Series: The Springer International Series in Engineering and Computer Science, 189
Expected to ship within 10 - 15 working days
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The continuous wavelet transform has deep mathematical roots in the
work of Alberto P. Calderon. His seminal paper on complex method of
interpolation and intermediate spaces provided the main tool for
describing function spaces and their approximation properties. The
Calderon identities allow one to give integral representations of
many natural operators by using simple pieces of such operators,
which are more suited for analysis. These pieces, which are
essentially spectral projections, can be chosen in clever ways and
have proved to be of tremendous utility in various problems of
numerical analysis, multidimensional signal processing, video data
compression, and reconstruction of high resolution images and high
quality speech. A proliferation of research papers and a couple of
books, written in English (there is an earlier book written in
French), have emerged on the subject. These books, so far, are
written by specialists for specialists, with a heavy mathematical
flavor, which is characteristic of the Calderon-Zygmund theory and
related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer,
Morlet, Chui, and others. Randy Young's monograph is geared more
towards practitioners and even non-specialists, who want and,
probably, should be cognizant of the exciting proven as well as
potential benefits which have either already emerged or are likely
to emerge from wavelet theory.
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