Wavelets Mathematics & Applications
Mathematics and Applications
1st Edition
Published on 27. September 1993
Book
Hardback
590 pages
978-0-8493-8271-0 (ISBN)
Description
Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented.
The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis.
The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.
The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis.
The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.
Reviews / Votes
"Wavelets is a presentation of the highest quality, of the state of the art in wavelet theory and some of its applications to signal processing and numerical analysis. It is generally easy to read and some of the chapters can be used as introductions to certain aspects of the subject."-Physics Today, November 1994
More details
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
Professional
Illustrations
20 s/w Photographien bzw. Rasterbilder, 2 s/w Tabellen
20 figs., 2 tabs.
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 36 mm
Weight
1039 gr
ISBN-13
978-0-8493-8271-0 (9780849382710)
Schweitzer Classification
Other editions
Person
John J. Benedetto (University of Maryland, College Park, Maryland, USA)
Content
Core MaterialConstruction of Orthonormal Wavelets, R.S. StrichartzAn Introduction to the Orthonormal Wavelet Transform on Discrete Sets, M. Frazier and A. KumarGabor Frames for L2 and Related Spaces, J.J. Benedetto and D.F. WalnutDilation Equations and the Smoothness of Compactly Supported Wavelets, C. Heil and D. ColellaRemarks on the Local Fourier Bases, P. AuscherWavelets and Signal ProcessingThe Sampling Theorem, Phi-Transform, and Shannon Wavelets for R, Z, T, and ZN, M. Frazier and R. TorresFrame Decompositions, Sampling, and Uncertainty Principle Inequalities, J.J. BenedettoTheory and Practice of Irregular Sampling, H.G. Feichtinger and K. GroechenigWavelets, Probability, and Statistics: Some Bridges, C. HoudreWavelets and Adapted Waveform Analysis, R.R. Coifman and V. WickerhauserNear Optimal Compression of Orthonormal Wavelet Expansions, B. Jawerth, C.-C. Hsiao, B. Lucier, and X. YuWavelets and Partial Differential OperatorsOn Wavelet-Based Algorithms for Solving Differential Equations, G. BeylkinWavelets and Nonlinear Analysis, S. JaffardScale Decomposition in Burgers' Equation, F. Heurtaux, F. Planchon, and V. WickerhauserThe Cauchy Singular Integral Operator and Clifford Wavelets, L. Andersson, B. Jawerth, and M. MitreaThe Use of Decomposition Theorems in the Study of Operators, R. Rochberg