Contemporary Mathematics 1998; 175 pp; softcover Volume: 216 ISBN10: 0821807935 ISBN13: 9780821807934 List Price: US$60 Member Price: US$48 Order Code: CONM/216
 This volume contains refereed research articles on the active area of wavelets and multiwavelets. The book draws upon work presented by experts in the field during the special session on "Wavelets, Multiwavelets and Their Applications" at the Joint Mathematics Meetings in San Diego (January 1997). Wavelets were implicit in mathematics, physics, signal or image processing, and numerical analysis long before they were given the status of a unified scientific field in the late 1980s. They continue to be one of the few subjects that have attracted considerable interest from the mathematical community as well as from other diverse disciplines where they have had promising applications. The topic is in full evolution, with many active research efforts emerging from the fruitful interaction of various mathematical subjects and other scientific disciplines. Readership Graduate students, research mathematicians, physicists, engineers, geophysicists and computer scientists working in Fourier analysis. Table of Contents Part I: Wavelet theory and applications  R. Balan  Extensions of nogo theorems to many signal systems
 X. Dai, D. R. Larson, and D. M. Speegle  Wavelet sets in \({\mathbb{R}}^n\). II
 J.P. Gabardo and M. Z. Nashed  An analogue of Cohen's condition for nonuniform multiresolution analyses
 G. G. Walter and X. Shen  Positive estimation with wavelets
 R. A. Zalik  A class of quasiorthogonal wavelet bases
Part II: Multiwavelet theory and applications  A. Aldroubi and M. Papadakis  Characterization and parameterization of multiwavelet bases
 T. B. Dinsenbacher and D. P. Hardin  Nonhomogeneous refinement equations
 E. Lin and Z. Xiao  Multiscaling function interpolation and approximation
 V. Strela  A note on construction of biorthogonal multiscaling functions
 X.G. Xia  Orthonormal matrix valued wavelets and matrix KarhunenLoève expansion
