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
1
Nonlinear Haar Approximation of Functions with Bounded Mixed Derivative
21
Wavelet Coefficients Associated with Translation and Rotation Transform
43
Multiwavelet Construction via the Lifting Scheme
51
Methods in Nonhomogeneous Refinement
75
Construction of Multivariate Biorthogonal Wavelets by CBC Algorithm
97
Construction of Prewavelets with Minimum Support over Triangulations
137
Applications in Industry
159
Multiwavelet Solutions for the Dirichlet Problem
233
Calculating the Spectral Radius of a Set of Matrices
247
Polynomial Frames for the Detection of Singularities
265
Sampling Bounds and Stability
291
On the Construction of Positive Scaling Vectors
292
A Geometric Approach to Ergodic NonHomogeneous Markov Chains
299
Conversion between Orthogonal and Biorthogonal Wavelets
325
Index
337

DivergenceFree Multiwavelets on Rectangular Domains
195

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