Wavelet Analysis

by International Conference of Computational Harmonic Analysis; Zhou, Ding-Xuan

• ISBN13: 9789812381422
• ISBN10: 9812381422
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Preface	v
Non-uniform Sampling: Exact Reconstruction from Non-uniformly Distributed Weighted-averages	1	(8)
Akram Aldroubi
Hans G. Feichtinger
Squeezable Bases and Semi-regular Multiresolutions	9	(14)
Derek Bruff
Douglas P. Hardin
Multilevel Structure of NURBS and Formulation of NURBlets	23	(16)
Charles K. Chui
Jian-Ao Lian
Adaptive Wavelet Methods --- Basic Concepts and Applications to the Stokes Problem	39	(42)
Wolfgang Dahmen
Karsten Urban
Jurgen Vorloeper
Nonstationary Wavelets	81	(19)
S. Dekel
D. Leviatan
Spline-type Spaces in Gabor Analysis	100	(23)
Hans G. Feichtinger
Spectrum of Transition, Subdivision and Multiscale Operators	123	(16)
Xiaojie Gao
S.L. Lee
Qiyu Sun
Biorthogonal Refinable Functions and Wavelets from Spaces Generalising Splines	139	(15)
T. N. T. Goodman
The Initial Functions in a Cascade Algorithm	154	(25)
Bin Han
On the Self-affine Sets and the Scaling Functions	179	(17)
Xing-Gang He
Ka-Sing Lau
Hui Rao
Cascade Algorithms in Wavelet Analysis	196	(35)
Rong-Qing Jia
Methods for Constructing Nonseparable Compactly Supported Orthonormal Wavelets	231	(21)
Ming-Jun Lai
On Some Quantum and Analytical Properties of Fractional Fourier Transforms	252	(14)
Jianhong Shen
Block Tridiagonal Matrices and the Kalman Filter	266	(15)
Gilbert Strang
A Special Class of Wavelet Frame Functions	281	(8)
Wenchang Sun
Deyun Yang
Xingwei Zhou
Advances in Wavelet Algorithms and Applications	289
Mladen Victor Wickerhauser