Contemporary Mathematics 1999; 306 pp; softcover Volume: 247 ISBN10: 0821819577 ISBN13: 9780821819579 List Price: US$92 Member Price: US$73.60 Order Code: CONM/247
 Over the past decade, wavelets and frames have emerged as increasingly powerful tools of analysis on \(n\)dimension Euclidean space. Both wavelets and frames were studied initially by using classical Fourier analysis. However, in recent years more abstract tools have been introduced, for example, from operator theory, abstract harmonic analysis, von Neumann algebras, etc. The editors of this volume organized a Special Session on the functional and harmonic analysis of wavelets at the San Antonio (TX) Joint Mathematics Meetings. The goal of the session was to focus research attention on these newlyintroduced tools and to share the organizers' view that this modern application holds the promise of providing some deeper understanding and fascinating new structures in pure functional analysis. This volume presents the fruitful results of the lively discussions that took place at the conference. Readership Graduate students and research mathematicians interested in analysis. Table of Contents  A. Aldroubi and P. Basser  Reconstruction of vector and tensor fields from sampled discrete data
 L. W. Baggett and K. D. Merrill  Abstract harmonic analysis and wavelets in \(\mathbb{R}^n\)
 R. Balan  Density and redundancy of the noncoherent WeylHeisenberg superframes
 J. J. Benedetto and M. T. Leon  The construction of multiple dyadic minimally supported frequency wavelets on \(\mathbb{R}^d\)
 L. Brandolini, G. Garrigós, Z. Rzeszotnik, and G. Weiss  The behaviour at the origin of a class of bandlimited wavelets
 O. Bratteli and P. E. T. Jorgensen  Convergence of the cascade algorithm at irregular scaling functions
 P. G. Casazza, O. Christensen, and A. J. E. M. Janssen  Classifying tight WeylHeisenberg frames
 P. G. Casazza, D. Han, and D. R. Larson  Frames for Banach spaces
 J. Courter  Construction of dilation\(d\) wavelets
 M. Frank and D. R. Larson  A module frame concept for Hilbert C*modules
 J. Gasch and J. E. Gilbert  Triangularization of Hankel operators and the bilinear Hilbert transform
 R. F. Gundy  Two remarks concerning wavelets: Cohen's criterion for lowpass filters and Meyer's theorem on linear independence
 D. Han, D. R. Larson, M. Papadakis, and Th. Stavropoulos  Multiresolution analyses of abstract Hilbert spaces and wandering subspaces
 G. Strang, V. Strela, and D.X. Zhou  Compactly supported refinable functions with infinite masks
 E. Weber  Applications of the wavelet multiplicity function
