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A First Course on Wavelets (Studies in Advanced Mathematics) by Eugenio Hernández; Guido L Weiss is a book available to read on EtoBox.
What is A First Course on Wavelets (Studies in Advanced Mathematics) about?
<p><P>Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets. <P>The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets.<P>Some of the topics treated include:<br><li>Several bases generated by a single function via translations and dilations<br></li><li>Multiresolution analysis, compactly supported wavelets, and spline wav
- Author
- Eugenio Hernández; Guido L Weiss
- Publisher
- Boca Raton: CRC Press
- Published
- 1996
- Language
- EN
- ISBN
- 9780849382741
- Subjects
- Mathematics, Stem
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