Wavelets, multiwavelets, and their applications : AMS Special Session on Wavelets, Multiwavelets, and Their Applications, January, 1997, San Diego, California
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Bibliographic Information
Wavelets, multiwavelets, and their applications : AMS Special Session on Wavelets, Multiwavelets, and Their Applications, January, 1997, San Diego, California
（Contemporary mathematics, v. 216）
American Mathematical Society, c1998
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Includes bibliographical references
Description and Table of Contents
Description
This volume contains refereed research articles on the active area of wavelets and multiwavelets. The book draws upon work presented by experts in the field during the special session on 'Wavelets, Multiwavelets and Their Applications' at the Joint Mathematics Meetings in San Diego (January 1997). Wavelets were implicit in mathematics, physics, signal or image processing, and numerical analysis long before they were given the status of a unified scientific field in the late 1980s. They continue to be one of the few subjects that have attracted considerable interest from the mathematical community as well as from other diverse disciplines where they have had promising applications. The topic is in full evolution, with many active research efforts emerging from the fruitful interaction of various mathematical subjects and other scientific disciplines.
Table of Contents
Part I: Wavelet theory and applications: Extensions of no-go theorems to many signal systems by R. Balan Wavelet sets in ${\mathbb{R}}^n$. II by X. Dai, D. R. Larson, and D. M. Speegle An analogue of Cohen's condition for nonuniform multiresolution analyses by J.-P. Gabardo and M. Z. Nashed Positive estimation with wavelets by G. G. Walter and X. Shen A class of quasi-orthogonal wavelet bases by R. A. Zalik Part II: Multiwavelet theory and applications: Characterization and parameterization of multiwavelet bases by A. Aldroubi and M. Papadakis Nonhomogeneous refinement equations by T. B. Dinsenbacher and D. P. Hardin Multi-scaling function interpolation and approximation by E. Lin and Z. Xiao A note on construction of biorthogonal multi-scaling functions by V. Strela Orthonormal matrix valued wavelets and matrix Karhunen-Loeve expansion by X.-G. Xia.
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