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Wavelet Bases in Bounded Domains and Applications
Author(s): Abdellatif Jouini

ISBN:    978-81-8487-619-2 
E-ISBN:   
Publication Year:   March 2018
Pages:   260
Binding:   Paper Back
Dimension:   160mm x 240mm
Weight:   


Textbook


About the book

WAVELET BASES IN BOUNDED DOMAINS AND APPLICATIONS presents an accessible treatment and description of discrete and generalized wavelet analysis and how they can be applied to fundamental data analysis and geomathematical problems. We find also in this book a complete study of transmutation operators, the harmonic analysis, generalized wavelet packets associated with Dunk1 operators. Many applications of these theories have been given in the text by way of a rich collection of references (212). The results and methods in the book should be of interest to graduate students and researchers working in wavelets, Fourier analysis, operator theories, differential equations and Mathematical Physics because they allow a greatly flexibility and are easy to implement.



Table of Contents

Introduction / Multiresolution Analysis / Biorthogonal Multiresolution Analysis / Scaling Function and the Associated Wavelet / Wavelets with Compact Support / Analyze by Wavelets / More General Constructions of Wavelets on the Interval / General Wavelet bases on the cube and Applications / General Segmented Multiresolution Analysis / Wavelets on a Manifold / Wavelet bases on a Triangle /Continuous Multiresolution Analysis Associated with the Dunk1 Operator / Dunk1 Wavelet packets associated with the Dunk1 Operator / Bibliography.




Audience

Undergraduate Students, Teachers and Researchers


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