The Mathematical Theory of Wavelets   [Archived Catalog]
2016-2017 Graduate Studies Bulletin (Archived Copy)
   
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MATH 751 - The Mathematical Theory of Wavelets

Credits: 3

The L1 and L2 theory of the Fourier transform on the line, bandlimited functions and the Paley-Weiner theorem, Shannon-Whittacker Sampling Theorem, Riesz systems, Mallat-Meyer multiresolution analysis in Lebesgue spaces, scaling functions, wavelet constructions, wavelet representation and unconditional bases, nonlinear approximation, Riesz's factorization lemma, and Daubechies' compactly supported wavelets.

Prerequisites: MATH 703



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