Four Short Courses on Harmonic Analysis
Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
Seiten
2009
|
2010 ed.
Birkhauser Boston Inc (Verlag)
9780817648909 (ISBN)
Birkhauser Boston Inc (Verlag)
9780817648909 (ISBN)
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.
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.
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.
Introduction: Mathematical Aspects of Time-Frequency Analysis.- B-Spline Generated Frames.- Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets.- Wavelets on the Sphere.- Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications.
| Reihe/Serie | Applied and Numerical Harmonic Analysis |
|---|---|
| Co-Autor | Ole Christensen, Karlheinz Gröchenig, Demetrio Labate |
| Zusatzinfo | 36 Illustrations, black and white |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-13 | 9780817648909 / 9780817648909 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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