Four Short Courses on Harmonic Analysis (eBook)

Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis

Brigitte Forster, Peter Massopust (Herausgeber)

eBook Download: PDF

2009 | 2010. Auflage
XVIII, 249 Seiten
Birkhauser Boston (Verlag)
978-0-8176-4891-6 (ISBN)

Infos

This textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other than Rn.

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Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn.Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.

Inhalt

Introduction: Mathematical Aspects of Time-Frequency Analysis
1. B-Spline Generated Frames
2. Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets
3. Wavelets on the Sphere
4. Wiener's Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications
References
Index

Produkt-Details

• Erscheint lt. Verlag: 3.11.2009
• Co-Autor: Ole Christensen, Karlheinz Grochenig, demetrio labate, Pierre Vandergheynst, Guido Weiss, Yves Wiaux
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: B-spline generat • B-spline generated frames • composite dilations • composite wavelets • fourier analysis • frames and bases • Harmonic Analysis • Image Analysis • Image Processing • Signal Processing • spectral invariance • spherical functions • time-frequency methods • wavelets on the sphere • Wiener's lemma
• ISBN-10: 0-8176-4891-7 / 0817648917
• ISBN-13: 978-0-8176-4891-6 / 9780817648916