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

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.