Academic Report
Professor Charles A. Micchelli short lectures
2013-05-17
Title: Lectures on Computational MathematicsSpeaker: Professor Charles A. Micchelli
Department of Mathematics & Statistics
University at Albany, State University of New York
Time: 11:00am-12:00pm and 3:00pm-4:00pm from May 20 (Monday) to May 24 (Friday), 2013
Location:Room 413, Building 415
Contents (10 Lectures):
1. The Bedrosian identity for functions analytic in a neighborhood of the unit circle.
2. Hypercircle inequality for inaccurate data.
3. Functions with spline spectra.
4. Computation of the Hilbert transform with B-spline series.
5. Expectation/Maximization algorithm.
6. Polynomial approximation to an ideal filter.
7. Flat interpolation: Fourier transform method.
8. Flat interpolation: Power series approach.
9. A family of penalty functions for structured sparsity.