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Methods of Applied Mathematics with a MATLAB Overview

Posted By: AvaxGenius
Methods of Applied Mathematics with a MATLAB Overview

Methods of Applied Mathematics with a MATLAB Overview by Jon H. Davis
English | PDF | 2004 | 730 Pages | ISBN : 1461264863 | 39.4 MB

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Wavelet Transforms and Time-Frequency Signal Analysis

Posted By: AvaxGenius
Wavelet Transforms and Time-Frequency Signal Analysis

Wavelet Transforms and Time-Frequency Signal Analysis by Lokenath Debnath
English | PDF | 2001 | 444 Pages | ISBN : 0817641041 | 38.1 MB

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub­ mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.

Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis

Posted By: AvaxGenius
Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis

Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis by Brigitte Forster
English | PDF | 2010 | 265 Pages | ISBN : 0817648909 | 8.4 MB

This state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field, including cosmic microwave background analysis, human cortex image denoising, and wireless communication. The work is the first one that combines spline theory (from a numerical or approximation-theoretical view), wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn.

An Introduction to Wavelet Analysis

Posted By: AvaxGenius
An Introduction to Wavelet Analysis

An Introduction to Wavelet Analysis by David F. Walnut
English | PDF | 2004 | 453 Pages | ISBN : 0817639624 | 26.9 MB

An Introduction to Wavelet Analysis provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases. The book develops the basic theory of wavelet bases and transforms without assuming any knowledge of Lebesgue integration or the theory of abstract Hilbert spaces.

Foundations of Time-Frequency Analysis

Posted By: AvaxGenius
Foundations of Time-Frequency Analysis

Foundations of Time-Frequency Analysis by Karlheinz Gröchenig
English | PDF | 2001 | 367 Pages | ISBN : 0817640223 | 25.8 MB

Time-frequency analysis is a modern branch of harmonic analysis. It com­ prises all those parts of mathematics and its applications that use the struc­ ture of translations and modulations (or time-frequency shifts) for the anal­ ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym­ metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Posted By: AvaxGenius
Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications: TJC 2019, Djerba, Tunisia, December 15–19 by Ali Baklouti
English | PDF,EPUB | 2021 | 268 Pages | ISBN : 3030783456 | 30.6 MB

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019.