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
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Book Description
Editorial Reviews
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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
-Physics Today, November 1994
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2 of 2 people found the following review helpful:
4.0 out of 5 stars
A lot of material!,
By Massimiliano Celaschi (Graffignano, Viterbo Italy) - See all my reviews
This review is from: Wavelets Mathematics and Applications (Studies in Advanced Mathematics) (Hardcover)
The textbook, actually a collection of lectures, provides a lot of material and examples, and it tries to lead the reader from the basics of subject to the applications of wavelets. Despite of the wide range presented by the chapters, the high reciprocal independence and the completness of proposed path, as an introductory book I would prefer the classical "Ten Lectures on Wavelets", even if Benedetto-Frazier work could be more suitable to get at-a-glance what people are doing (i.e. were doing at the moment of publication) with wavelets.
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Inside This Book
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First Sentence:
ABSTRACT This paper gives a self-contained presentation of Meyer and Mallat's basic theory of multiresolution analysis and the construction of orthonormal wavelet bases in Rn. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
classical uncertainty principle inequality, continuous scaling vector, adaptive weights method, joint spectral radius, irregular sampling problem, compatible intervals, uncertainty principle inequalities, supported scaling functions, dilation equation, scaling identity, wavelet system, dyadic cubes, classical sampling theorem, nonincreasing rearrangement, lower frame bound, frame decompositions, reproducing formula, orthonormal decomposition, frame bounds, wavelet orthonormal bases, optimal relaxation parameter, information plane, integrable group representations, dyadic points, perfect reconstruction condition Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Pure Appl, Princeton Univ, Cambridge Univ, Acta Math, College Park, Ten Lectures, University of Maryland, Cascade Algorithm, Kluwer Academic Publishers, Notes Math, Speech Signal Process, Complex Domain, London Math, Washington University, World Scientific, Euclidean Spaces, Honor of Geoffrey Chew, Plenum Press, Studia Math, Wiener's Tauberian New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
ABSTRACT This paper gives a self-contained presentation of Meyer and Mallat's basic theory of multiresolution analysis and the construction of orthonormal wavelet bases in Rn. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
classical uncertainty principle inequality, continuous scaling vector, adaptive weights method, joint spectral radius, irregular sampling problem, compatible intervals, uncertainty principle inequalities, supported scaling functions, dilation equation, scaling identity, wavelet system, dyadic cubes, classical sampling theorem, nonincreasing rearrangement, lower frame bound, frame decompositions, reproducing formula, orthonormal decomposition, frame bounds, wavelet orthonormal bases, optimal relaxation parameter, information plane, integrable group representations, dyadic points, perfect reconstruction condition Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Pure Appl, Princeton Univ, Cambridge Univ, Acta Math, College Park, Ten Lectures, University of Maryland, Cascade Algorithm, Kluwer Academic Publishers, Notes Math, Speech Signal Process, Complex Domain, London Math, Washington University, World Scientific, Euclidean Spaces, Honor of Geoffrey Chew, Plenum Press, Studia Math, Wiener's Tauberian New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 58
books:
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71
books
cite this book:
See all 71 books citing this book
- Wavelets, Volume 2: A Tutorial in Theory and Applications (Wavelet Analysis and Its Applications) by Charles K. Chui on 9 pages
- Wavelets and their Applications by Mary Beth Ruskai on 8 pages
- Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics) by Ingrid Daubechies on 7 pages
- An Introduction to Non-Harmonic Fourier Series, Revised Edition, 93, Second Edition (v. 93) by Robert M. Young on 4 pages
- Fourier Techniques and Applications by John F. Price on page 245, page 302, and page 303
See all 58 books this book cites
- Nonuniform Sampling: Theory and Practice (Information Technology: Transmission, Processing and Storage) by Farokh Marvasti on 7 pages
- Gabor Analysis and Algorithms: Theory and Applications (Applied and Numerical Harmonic Analysis) by Hans G. Feichtinger on 4 pages
- Time Frequency and Time-Scale Methodes by Jeffrey A. Hogan on 4 pages
- A Friendly Guide to Wavelets by Gerald Kaiser in Front Matter, Back Matter (1), and Back Matter (2)
- Harmonic Analysis and Applications (Studies in Advanced Mathematics) by John J. Benedetto in Front Matter (1), Front Matter (2), and Back Matter
See all 71 books citing this book
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