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)
9780817648916 (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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This state-of-the-art 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 then Rn. Written by internationally renowned mathematicians, the work's main emphasis is on the interdependence of the four modern research directions. Each chapter ends with exercises that allow for a more in-depth understanding of the material and are intended to stimulate the reader toward further research. Four Short Courses in Harmonic Analysis is intended as a graduate-level textbook for a course in harmonic analysis. It is also an excellent reference guide for researchers and practitioners with diverse mathematical backgrounds, including theoretical and applied mathematics, image and signal processing engineering, 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 ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• 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-13: 9780817648916 / 9780817648916