A state-of-the-art collection of chapters critically surveying wavelet analysis as a tool for fundamental computational harmonic analysis problems in applied math and electrical engineering.

"This book is a great collection of recent material of recent investigation on wavelet and time-frequency analysis that is not covered in the literature.... The book is an important source for all readers interested in a broad perspective. In particular, a wide variety of applications are presented that are important for interdisciplinary collaborative research."

ZAA

Autorentext

Lokenath Debnath, Ph.D., is a Professor of Mathematics at The University of Texas-Pan American. He received his Ph.D. in Applied Mathematics from the University of London, and a Ph.D. in Pure Mathematics from the University of Calcutta. His areas of interest are applied mathematics, applied partial differential equations, integral transforms, fluid dynamics, and continuum mechanics. Firdous Ahmad Shah, Ph.D., is an Assistant Professor in the Post Graduate Department of Mathematics at the University of Kashmir. His areas of specialization are: wavelets, wavelet packets, applications of wavelets in financial time series, and wavelet neural networks.

Klappentext

This volume is designed as a new source for modern topics dealing with wavelets, wavelet transforms time-frequency signal analysis and other applications for future development of this new, important and useful subject for mathematics, science and engineering. Its main features include:
A broad coverage of recent material on wavelet analysis, and time-frequency signal analysis and other applications that are not usually covered in other recent reference books.
The material presented in this volume brings together a rich variety of ideas that blend most aspects of the subject mentioned above.
This volume brings together a detailed account of major recent developments in wavelets, wavelet transforms and time-frequency signal analysis.
This volume provides the reader with a thorough mathematical background and a wide variety of applications that are sufficient to do interdisciplinary collaborative research in applied mathematics.
The book provides information that puts the reader at the forefront of the current resarch. An up-to-date bibliography is included at the end of each chapter to stimulate new interest in future study and research.

Inhalt
I Wavelets and Wavelet Transforms.- 1 Wavelet Frames: Multiresolution Analysis and Extension Principles.- 2 Convergence Rates of Multiscale and Wavelet Expansions.- 3 Denoising via Nonorthogonal Wavelet Transforms.- 4 Osiris Wavelets and the Dipole Gas.- 5 Wavelets in Closed Forms.- 6 Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods.- 7 Computing and Analyzing Turbulent Flows Using Wavelets.- 8 The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform.- II Time-Frequency Signal Analysis.- 9 Quadratic Time-Frequency Analysis of Linear Time-Varying Systems.- 10 Inequalities in MellinFourier Signal Analysis.- 11 Introduction to Time-Frequency Signal Analysis.- 12 Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations.