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.
"Higher Order Multivariate Wavelet Type Approximation George A. Anastassiou Nonlinear Haar Approximation of Functions with Bounded Mixed Derivative Alexander V. Andrianov Wavelet Coefficients Associate with Translation and Rotation Transform Yu Dai and Yunshi Zhou Multiwavelet Construction via the Lifting Scheme Geoffrey M. Davis, Vasily Strela, and Radka Turcajová Methods in Nonhomogeneous Refinement Thomas B. Dinsenbacher Construction of Multivariate Biorthogonal Wavelets by CBC Algorithm Bin Han Construction of Prewavelets with Minimum Support over Triangulations Don Hong and Yuchun Anna Mu Wavelet Analysis: Applications in Industry Mei Kobayashi Divergence-Free Multiwavelets on Rectangular Domains Joseph D. Lakey and María Cristina Pereyra Multiwavelet Solutions for the Dirichlet Problem En-Bing Lin and Zhengchu Xiao Calculating the Spectral Radius of a Set of Matrices Mohsen Maesumi Polynomial Frames for the Detection of Singularities N. H. Mhaskar and J. Prestin Sampling Bounds and Stability Joseph M. Rosenblatt On the Construction of Positive Scaling Vectors David K. Ruch and Patrick J. Van Fleet A Geometric Approach to Ergodic Non-Homogeneous Markov Chains Jianhong Shen Conversion between Orthogonal and Biorthogonal Wavelets Jun Tian and Raymond O. Wells, Jr. "