| 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 |
| 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 |
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Book DetailsContemporary MathematicsVolume: 216; 1998; 175 ppMSC: 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.
ReadershipGraduate students, research mathematicians, physicists, engineers, geophysicists and computer scientists working in Fourier analysis.
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Table of Contents
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Part I. Wavelet Theory and Applications [ MR 1614710 ]
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Radu Balan — Extensions of no-go theorems to many signal systems [ MR 1614711 ]
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Xingde Dai, David R. Larson and Darrin M. Speegle — Wavelet sets in $\mathbf {R}^n$. II [ MR 1614712 ]
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Jean-Pierre Gabardo and M. Zuhair Nashed — An analogue of Cohen’s condition for nonuniform multiresolution analyses [ MR 1614713 ]
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Gilbert G. Walter and Xiaoping Shen — Positive estimation with wavelets [ MR 1614714 ]
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Richard A. Zalik — A class of quasi-orthogonal wavelet bases [ MR 1614715 ]
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Part II. Multiwavelet Theory and Applications [ MR 1614710 ]
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Akram Aldroubi and Manos Papadakis — Characterization and parameterization of multiwavelet bases [ MR 1614716 ]
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Thomas B. Dinsenbacher and Douglas P. Hardin — Nonhomogeneous refinement equations [ MR 1614717 ]
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En-Bing Lin and Zhengchu Xiao — Multi-scaling function interpolation and approximation [ MR 1614718 ]
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Vasily Strela — A note on construction of biorthogonal multi-scaling functions [ MR 1614719 ]
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Xiang-Gen Xia — Orthonormal matrix valued wavelets and matrix Karhunen-Loève expansion [ MR 1614720 ]
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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.
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 ]
