A First Course on Wavelets

Eugenio Hernandez graduated from the Universidad Complutense de Madrid in 1977 and obtained his Ph.D. degree from Washington University in St. Louis in 1981. He has been a member of the faculty of the Universidad Autonoma de Madrid since 1982 and is now Professor of Mathematics. During the academic year 1987-88 Dr. Hernandez was a Fulbright Fellow and a member of the Mathematical Sciences Research Institute in Berkeley, California. He was a visiting professor at Washington University in St. Louis in 1994-95. His research interests lie in the areas of the theory of interpolation of operators, weighted inequalities, and most recently, in the theory of wavelets. Guido Weiss obtained his undergraduate and graduate degrees from the University of Chicago, receiving his Ph.D. degree in 1956. He served on the faculty at DePaul University from 1955 to 1960, and joined the faculty of Washington University in 1960 where he is now the Elinor Anheuser Professor of Mathematics. During the past 35 years he has had leaves of absence that have allowed him to be visiting professor in several different institutions: the Sorbonne, the University of Geneva, the University of Paris in Orsay, the Mathematical Sciences Research Institute in Berkeley, California (in each case for an academic year). He also was visiting professor during semester academic leave at the Universidad de Buenos Aires, Peking University, Beijing Normal University, and the Universidad Autonoma de Madrid. His research involves a broad area of mathematical analysis, particularly harmonic analysis. Some of his work, especially his contributions to the atomic and molecular characterizations of certain function spaces (particularly the Hardy spaces), is closely related to the theory of wavelets, a subject that has commanded his attention during the last few years. He has been awarded several honorsamong them the Chauvenet Prize and honorary degrees from Beijing Normal University, the University of Milano, and the University of Barcelona.