|Name:||Dr. Pencho Petrushev|
|College:||Arts and Sciences|
|Research Interests:||Approximation Theory; Harmonic analysis; Numerical methods; Function spaces; Nonlinear approximation from rational functions, splines, frames, ridge functions and more general dictionaries; approximation by ridge functions and neural networks; image processing; Spaces of distributions such as Hardy, Besov and Triebel-Lizorkin spaces in nonclassical, anisotropic and geometric settings; Construction of bases and frames (needlets) for Besov and Triebel-Lizorkin spaces in nonclassical and geometric settings; Applications of spherical needlets to approximation and fast evaluation of bandlimited functions on the sphere|
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