This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction.
This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German.
Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
"The history of wavelets is no longer an orphan left in cold storage. Fundamental Papers in Wavelet Theory is a hugely successful endeavor that will take are of future progress and study in the area."--Current Engineering Practice
"An important and welcome book, containing a striking range of papers. The introduction by John Benedetto is a delight."--Steve Krantz, Washington University
"An excellent book. This is a first-class reference for the history of wavelets. "--Gilbert Strang, Massachusetts Institute of Technology
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