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

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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

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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

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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

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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.