Wavelets and Multiscale Analysis: Theory and Applications
About this ebook
This volume, a collection of invited contributions developed from talks at an international conference on wavelets, features expository and research articles covering current and emerging areas in the theory and applications of wavelets. The book is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings. Part II looks at the use of multiscale harmonic analysis for understanding the geometry of large data sets and extracting information from them. Part III focuses on applications of wavelet theory to the study of several real-world problems.
Specific topics covered include:
- wavelets on locally compact groups and Riemannian manifolds;
- crystallographic composite dilation wavelets, quincunx and vector-valued wavelets;
- multiscale analysis of large data sets;
- geometric wavelets;
- wavelets applications in cosmology, atmospheric data analysis and denoising speech signals.
Wavelets and Multiscale Analysis: Theory and Applications is an excellent reference for graduate students, researchers, and practitioners in theoretical and applied mathematics, or in engineering.
