Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 61)

This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. Wavelets are a mathematical development that many experts think may revolutionize the world of information storage and retrieval. They are a fairly simple mathematical tool now being applied to the compression of data, such as fingerprints, weather satellite photographs, and medical x-rays - that were previously thought to be impossible to condense without losing crucial details. The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval.

Ingrid Daubechies is in the mathematics department and at the Program in Applied and Computational Mathematics at Princeton University. She was previously a member of the technical staff at AT&T Bell Laboratories while on leave from her tenured position in the theoretical physics department at the Free University, Brussels, and was a full professor in the mathematics department at Rutgers University. She was awarded the 1997 Ruth Lyttle Satter Prize in Mathematics.

She is a frequent lecturer and has published more than 46 papers.