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A first course on wavelets

✍ Scribed by Eugenio Hernandez, Guido L. Weiss


Publisher
CRC Press
Year
1996
Tongue
English
Leaves
21
Series
Studies in advanced mathematics
Edition
1
Category
Library

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✦ Synopsis


The Hernandez-Weiss book is a great source in mathematics, where the reader can learn about some fundamental and timeless tools of wavelet analysis. The presentation is clear and self contained. The book is great for an upper level analysis course, as well as for self study. Its emphasis is centered around the multiresolution method, and it has both the basics in the subject, and some exciting new results,-- those due to the co-authors, as well as those of the analysts in the extended "Wash U-family" of researchers. It has a wealth of new material that came after the 1992 classic of I. Daubechies ("Ten lectures on wavelets" SIAM ).The presentation in Hernandez-Weiss of, for example, multiplicity theory and the dimension function is great for the student who wishes to pick up the central ideas, or to learn the details, step by step. The book contains both history and motivation, and it points the reader towards a variety of exciting and timeless applications.

✦ Table of Contents


A First Course on WAVELETS......Page 3
About the Authors......Page 5
Contents......Page 7
Foreword......Page 10
Introduction......Page 13
The philosophy of the book......Page 14
Description of the book......Page 16
Some advice to the reader......Page 19
Acknowledgments......Page 20


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A first course on wavelets
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✍ Eugenio Hernandez, Guido L. Weiss πŸ“‚ Library πŸ“… 1996 πŸ› CRC Press 🌐 English

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