Wavelets Through a Looking Glass: The World of the Spectrum [Hardcover]

Preface * List of Figures * List of Tables * 1. Introduction * 2.
Homotopy Theory and Cascades * 3. Can You Hear the Shape of a Wavelet?
* 4. The Transfer Operator and Perron-Frobenius Theory * 5. The Fixed
Points of the Transfer Operator * 6. Orthogonalization and Isospectral
Approximation * References * Index

Mere words cannot adequately describe all the great features of the book...which has something for everyone of all mathematical persuasions.... This book has quite a different perspective from the other monographs on wavelets...mainly because it emphasizes the Fourier domain as the proper window or looking glass from which one can most easily study wavelet theory.... Whatever his or her level of expertise with the subject, a reader of this book will never be bored.... Each chapter begins with an introductory section accessible to the layperson, often containing some historical background, and often extremely entertaining.... This is a fun book, full of exciting new results, written by two world-renowned experts in the field, which makes connections between a variety of important areas in pure and applied mathematics.  

SIAM Review

This is a quite unusual wavelet book, with a fresh view on the subject. While the vast majority of wavelet books concentrate on multiresolution analysis and its applications, this book treats the topic from an operator theoretic point of view, with a focus on techniques having a geometric or spectral theoretic flavor. In fact, while parts of the book could be used in a wavelet course, other parts would be suitable in a course directed towards operator theory.

Zentralblatt Math

The authors take a fresh look at the subject and develop a new intuition for many topics. In particular, they make more extensive use of spectral theory than lÓy