edited by Ding-Xuan Zhou (City University of Hong Kong, China)

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 – 8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis. Plenary speakers include W Dahmen, R Q Jia, P W Jones, K S Lau, S L Lee, S Smale, J Smoller, G Strang, M Vetterlli, and M V Wickerhauser. The central theme was wavelet analysis in the broadest sense, covering time-frequency and time-scale analysis, filter banks, fast numerical computations, spline methods, multiscale algorithms, approximation theory, signal processing, and a great variety of applications.

This proceedings volume contains sixteen papers from the lectures given by plenary and invited speakers. These include expository articles surveying various aspects of the twenty-year development of wavelet analysis, and original research papers reflecting the wide range of research topics of current interest.

• Non-uniform Sampling: Exact Reconstruction from Non-uniformly Distributed Weighted-averages (A Aldroubi & H G Feichtinger)
• Squeezable Bases and Semi-regular Multiresolutions (D Bruff & D P Hardin)
• Multilevel Structure of NURBS and Formulation of NURBlets (C K Chui & J-A Lian)
• Adaptive Wavelet Methods — Basic Concepts and Applications to the Stokes Problem (W Dahmen et al.)
• Nonstationary Wavelets (S Dekel & D Leviatan)
• Spline-type Spaces in Gabor Analysis (H G Feichtinger)
• Spectrum of Transition, Subdivision and Multiscale Operators (X-J Gao et al.)
• Biorthogonal Refinable Functions and Wavelets from Spaces Generalising Splines (T N T Goodman)
• The Initial Functions in a Cascade Algorithm (B Han)
• On the Self-affine Sets and the Scaling Functions (X-G He et al.)
• Cascade Algorithms in Wavelet Analysis (R-Q Jia)
• Methods for Constructing Nonseparable Compactly Supported Orthonormal Wavelets (M-J Lai)
• On Some Quantum and Analytical Properties of Fractional Fourier Transforms (J-H Shen)
• Block Tridiagonal Matrices and the Kalman Filter (G Strang)
• A Special Class of Wavelet Frame Functions (W-C Sun et al.)
• Advances in Wavelet Algorithms and Applications (M V Wickerhauser)