Wavelet Analysis and Multiresolution Methods

Selection of papers presented at the Wavelet Analysis and Multiresolution Methods Session of the American Mathematical Society meeting held at the University of Illinois at Urbana-Champaign. Focuses on the use of wavelet analysis to solve a broad range of signal, time series, and image problems. Softcover.

Tian-Xiao He is Professor in the Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington. George A. Anastassiou: Department of Mathematical Sciences, University of Memphis, Tennessee Alexander V. Andrianov: Department of Mathematics, University of South Carolina, Columbia Yu Dai: Department of Mathematics, Jilin University, Changchun, P.R. China Geoffrey M. Davis: Microsoft Research, Redmond, Washington Thomas B. Dinsenbacher: Department of Mathematics, Vanderbilt University, Nashville, Tennessee Bin Han: Program in Applied and Computational Mathematics, Princeton University, New Jersey Don Hong: Department of Mathematics, East Tennessee State University, Johnson City Mei Kobayashi: IBM Tokyo Research Laboratory, Kanagawa-ken, Japan Joseph D. Lakey: Department of Mathematical Sciences, New Mexico State University, Las Cruces En-Bing Lin: Department of Mathematics, University of Toledo, Ohio Mohsen Maesumi: Mathematics Department, Lamar University, Beaumont, Texas H. N. Mhaskar: Department of Mathematics, California State University, Los Angeles Yuchun Anna Mu: Department of Mathematics, East Tennessee State University, Johnson City Maria Cristina Pereyra: Department of Mathematics and Statistics, The University of New Mexico, Albuquerque J. Prestin: Institute of Biomathematics and Biometry, GSF - National Research Center for Environment and Health, Neuherberg, Germany Joseph M. Rosenblatt: Department of Mathematics, University of Illinois at Urbana David K. Ruch: Department of Mathematics and Comp. Science, Metropolitan State College of Denver, Colorado Jianhong Shen: Department of Mathematics, University of California - Los Angeles Vasily Strela: Department of Mathematics and Computer Science, Drexel University, Philadelphia, Pennsylvania Jun Tian: Computational Mathematics Laboratory, Rice University, Houston, Texas Radka Turcajova: Department of Mathematics, Sam Houston State University, Huntsville, Texas Patrick J. Van Fleet: Department of Mathematics, University of St. Thomas, St. Paul, Minnesota Raymond O. Wells, Jr.: Computational Mathematics Laboratory, Rice University, Houston, Texas Zhengchu Xiao: Department of Mathematics, University of Toledo, Ohio Yunshi Zhou: Department of Mathematics, Jilin University, Changchun, P.R. China

Preface	p. iii
Contributors	p. vii
Higher Order Multivariate Wavelet Type Approximation	p. 1
Nonlinear Haar Approximation of Functions with Bounded Mixed Derivative	p. 27
Wavelet Coefficients Associated with Translation and Rotation Transform	p. 49
Multiwavelet Construction via the Lifting Scheme	p. 57
Methods in Nonhomogeneous Refinement	p. 81
Construction of Multivariate Biorthogonal Wavelets by CBC Algorithm	p. 105
Construction of Prewavelets with Minimum Support over Triangulations	p. 145
Wavelet Analysis: Applications in Industry	p. 167
Divergence-Free Multiwavelets on Rectangular Domains	p. 203
Multiwavelet Solutions for the Dirichlet Problem	p. 241
Calculating the Spectral Radius of a Set of Matrices	p. 255
Polynomial Frames for the Detection of Singularities	p. 273
Sampling Bounds and Stability	p. 299
On the Construction of Positive Scaling Vectors	p. 317
A Geometric Approach to Ergodic Non-Homogeneous Markov Chains	p. 341
Conversion between Orthogonal and Biorthogonal Wavelets	p. 367
Index	p. 379
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Wavelet Analysis and Multiresolution Methods

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