Framelets and Wavelets
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※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 Algorithms, Analysis, and Applications, 1st ed. 2017 Series: Applied and Numerical Harmonic Analysis Author: Han, Bin Publisher: Springer ISBN: 9783319685298 Cover: HARDCOVER Date: 2018年01月 DESCRIPTION Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide.As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises.Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets.Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing. Table of Contents Preface.- Chapter 1. Discrete Framelet Transforms.-?Chapter 2. Wavelet Filter Banks.-?Chapter 3. Framelet Filter Banks.-?Chapter 4. Analysis of Affine Systems and Dual Framelets.-?Chapter 5. Analysis of Refinable Vector Functions.-?Chapter 6. Framelets and Wavelets Derived from Refinable Functions.-?Chapter 7. Applications of Framelets and Wavelets.-?Appendix A. Basics on Fourier Analysis.-?Notes and Acknowledgments.-?Bibliography.-?Index. TABLE OF CONTENTS Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide.As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises.Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets.Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.
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