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Wavelets, Multiwavelets, and Their Applications
Edited by: Akram Aldroubi, Vanderbilt University, Nashville, TN, and EnBing Lin, University of Toledo, OH
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Contemporary Mathematics
1998; 175 pp; softcover
Volume: 216
ISBN-10: 0-8218-0793-5
ISBN-13: 978-0-8218-0793-4
List Price: US$60
Member Price: US$48
Order Code: CONM/216
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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.

Readership

Graduate students, research mathematicians, physicists, engineers, geophysicists and computer scientists working in Fourier analysis.

Table of Contents

Part I: Wavelet theory and applications
  • R. Balan -- Extensions of no-go theorems to many signal systems
  • X. Dai, D. R. Larson, and D. M. Speegle -- Wavelet sets in \({\mathbb{R}}^n\). II
  • J.-P. Gabardo and M. Z. Nashed -- An analogue of Cohen's condition for nonuniform multiresolution analyses
  • G. G. Walter and X. Shen -- Positive estimation with wavelets
  • R. A. Zalik -- A class of quasi-orthogonal wavelet bases
Part II: Multiwavelet theory and applications
  • A. Aldroubi and M. Papadakis -- Characterization and parameterization of multiwavelet bases
  • T. B. Dinsenbacher and D. P. Hardin -- Nonhomogeneous refinement equations
  • E. Lin and Z. Xiao -- Multi-scaling function interpolation and approximation
  • V. Strela -- A note on construction of biorthogonal multi-scaling functions
  • X.-G. Xia -- Orthonormal matrix valued wavelets and matrix Karhunen-Loève expansion
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