Release Date: 10 December 1010
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 (from a numerical or approximation-theoretical view), wavelets, frames, and time-frequency methods up to construction on manifolds other then Rn.
Written by internationally renowned mathematicians, the interdisciplinary chapters have expository character, allowing the reader to understand the theory behind modern image and signal processing methodologies. The 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. A comprehensive index completes the work.
* Frames and bases in mathematics and engineering
* Wavelets with composite dilations and their applications
* Wavelets on the sphere and their applications
* Wiener's Lemma: theme and variations
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.
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