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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 o...