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Wavelets and Multiwavelets : Studies in Advanced Mathematics - Fritz  Keinert

Wavelets and Multiwavelets

By: Fritz Keinert

Hardcover | 12 November 2003 | Edition Number 1

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First appearing in the late 1980s, wavelets have developed rapidly, and their applications now reach from signal processing to numerical analysis, operator theory, and beyond. Among the generalizations of wavelets that have emerged, multiwavelets stand out because of their potential for short support and for their capability of being both symmetric and orthogonal. Some existing wavelet books have a short section covering multiwavelets, but to date, none offer a comprehensive treatment. Pulling together information scattered throughout the literature of mathematics and engineering, Wavelets and Multiwavelets offers a full exposition of wavelet and multiwavelet theory. Maintaining the delicate balance between mathematical rigor and readability, the author presents the theory of classical wavelets and general m-band multiwavelets in parallel. This provides a more coherent approach and yields alternative proofs and new insights even for standard wavelets. MATLAB routines that allow you to implement and experiment with multiwavelet algorithms are available from the CRC Press Web site.
Industry Reviews
"The selling point of this book is that it contains a detailed study of multiwavelets as well as a treatment of standard wavelets. The book can be recommended to engineers and mathematicians looking for a detailed introduction to multiwavelets. It could also be useful for a graduate course." - Mathematical Reviews, Issue 2005b

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