1. Introduction 2. Normed vector spaces 3. Analytic tools 4. Fourier series 5. Fourier transforms 6. Compressive sensing 7. Discrete transforms 8. Linear filters 9. Windowed Fourier transforms, continuous wavelets, frames 10. Multiresolution analysis 11. Discrete wavelet theory 12. Biorthogonal filters and wavelets 13. Parsimonious representation of data Bibliography Index.
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