Wavelet Analysis and Multiresolution Methods

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CRC Press, May 5, 2000 - Mathematics - 396 pages
This volume contains papers selected from the Wavelet Analysis and Multiresolution Methods Session of the AMS meeting held at the University of Illinois at Urbana-Champaign. The contributions cover: construction, analysis, computation and application of multiwavelets; scaling vectors; nonhomogenous refinement; mulivariate orthogonal and biorthogonal wavelets; and other related topics.
 

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Contents

Higher Order Multivariate Wavelet Type Approximation
ix
Nonlinear Haar Approximation of Functions with Bounded Mixed Derivative
19
Wavelet Coefficients Associated with Translation and Rotation Transform
41
Multiwavelet Construction via the Lifting Scheme
49
Methods in Nonhomogeneous Refinement
73
Construction of Multivariate Biorthogonal Wavelets by CBC Algorithm
93
Construction of Prewavelets with Minimum Support over Triangulations
133
Applications in Industry
155
Multiwavelet Solutions for the Dirichlet Problem
229
Calculating the Spectral Radius of a Set of Matrices
243
Polynomial Frames for the Detection of Singularities
261
Sampling Bounds and Stability
287
On the Construction of Positive Scaling Vectors
292
A Geometric Approach to Ergodic NonHomogeneous Markov Chains
295
Conversion between Orthogonal and Biorthogonal Wavelets
321
Index
333

DivergenceFree Multiwavelets on Rectangular Domains
191

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