Revista Matem Tica Iberoamericana

Distinguished mathematicians were asked to write down their personal experiences as readers of research papers, especially those papers from early in their careers which had a profound impact on the future of their career/research interests.

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of ``building blocks'' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different ``sizes'' which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

This volume traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. It contains the seminal papers that presented the ideas from which wavelet theory developed, as well as those papers that developed the theory.

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

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