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Wavelets, Multiwavelets, and Their Applications
 
Edited by: Akram Aldroubi Vanderbilt University, Nashville, TN
EnBing Lin University of Toledo, Toledo, OH
Wavelets, Multiwavelets, and Their Applications
eBook ISBN:  978-0-8218-7808-8
Product Code:  CONM/216.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Wavelets, Multiwavelets, and Their Applications
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Wavelets, Multiwavelets, and Their Applications
Edited by: Akram Aldroubi Vanderbilt University, Nashville, TN
EnBing Lin University of Toledo, Toledo, OH
eBook ISBN:  978-0-8218-7808-8
Product Code:  CONM/216.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2161998; 175 pp
    MSC: Primary 42; 41; Secondary 43; 39; 65;

    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 [ MR 1614710 ]
    • Radu Balan — Extensions of no-go theorems to many signal systems [ MR 1614711 ]
    • Xingde Dai, David R. Larson and Darrin M. Speegle — Wavelet sets in $\mathbf {R}^n$. II [ MR 1614712 ]
    • Jean-Pierre Gabardo and M. Zuhair Nashed — An analogue of Cohen’s condition for nonuniform multiresolution analyses [ MR 1614713 ]
    • Gilbert G. Walter and Xiaoping Shen — Positive estimation with wavelets [ MR 1614714 ]
    • Richard A. Zalik — A class of quasi-orthogonal wavelet bases [ MR 1614715 ]
    • Part II. Multiwavelet Theory and Applications [ MR 1614710 ]
    • Akram Aldroubi and Manos Papadakis — Characterization and parameterization of multiwavelet bases [ MR 1614716 ]
    • Thomas B. Dinsenbacher and Douglas P. Hardin — Nonhomogeneous refinement equations [ MR 1614717 ]
    • En-Bing Lin and Zhengchu Xiao — Multi-scaling function interpolation and approximation [ MR 1614718 ]
    • Vasily Strela — A note on construction of biorthogonal multi-scaling functions [ MR 1614719 ]
    • Xiang-Gen Xia — Orthonormal matrix valued wavelets and matrix Karhunen-Loève expansion [ MR 1614720 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2161998; 175 pp
MSC: Primary 42; 41; Secondary 43; 39; 65;

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.

  • Part I. Wavelet Theory and Applications [ MR 1614710 ]
  • Radu Balan — Extensions of no-go theorems to many signal systems [ MR 1614711 ]
  • Xingde Dai, David R. Larson and Darrin M. Speegle — Wavelet sets in $\mathbf {R}^n$. II [ MR 1614712 ]
  • Jean-Pierre Gabardo and M. Zuhair Nashed — An analogue of Cohen’s condition for nonuniform multiresolution analyses [ MR 1614713 ]
  • Gilbert G. Walter and Xiaoping Shen — Positive estimation with wavelets [ MR 1614714 ]
  • Richard A. Zalik — A class of quasi-orthogonal wavelet bases [ MR 1614715 ]
  • Part II. Multiwavelet Theory and Applications [ MR 1614710 ]
  • Akram Aldroubi and Manos Papadakis — Characterization and parameterization of multiwavelet bases [ MR 1614716 ]
  • Thomas B. Dinsenbacher and Douglas P. Hardin — Nonhomogeneous refinement equations [ MR 1614717 ]
  • En-Bing Lin and Zhengchu Xiao — Multi-scaling function interpolation and approximation [ MR 1614718 ]
  • Vasily Strela — A note on construction of biorthogonal multi-scaling functions [ MR 1614719 ]
  • Xiang-Gen Xia — Orthonormal matrix valued wavelets and matrix Karhunen-Loève expansion [ MR 1614720 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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