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Undergraduate Research

Faculty Information

Name: Dr. Pencho Petrushev
Phone: 803-777-6686
Campus: Columbia
College: Arts and Sciences
Department: Mathematics
Building: LeConte 427
Center/Institute: Industrial Mathematics
Position: Professor
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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