MATH 729 - Nonlinear Approximation

Credits: 3

Nonlinear approximation from piecewise polynomial (spline) functions in the univariate and multivariate case, characterization of the approximation spaces via Besov spaces and interpolation, Newman's and Popov's theorems for rational approximation, characterization of the approximation spaces of rational approximation, nonlinear n-term approximation from bases in Hilbert spaces and from unconditional bases in Lp (p>1), greedy algorithms, application of nonlinear approximation to image compression.

Prerequisites: MATH 703

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