Series in Analysis - Vol. 1
WAVELET ANALYSIS
Twenty Years' Developments
Proceedings of the International Conference of Computational Harmonic Analysis
Hong Kong, China 4 - 8 June 2001
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.
Contents:
- 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)
Readership: Researchers, academics and graduate students in theoretical &
applied analysis, applied & computational mathematics, signal processing/image analysis, electrical & electronic engineering.
| 320pp |
Pub. date: Aug 2002 |
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