S. Gardiner

will speak on

Universal Fourier and Taylor series

Time: 4:00PM
Date: Tue 13th March 2018
Location: SCN 125 [map]

Abstract: It has long been known that there exist trigonometric series, the partial sums of which possess universal approximation properties on the unit circle. It turns out that, for most smooth functions on the unit circle, the partial sums of the associated Fourier series, when extended to the plane, have universal approximation properties off the circle. There are also related results for pairs of Taylor and Laurent series arising from functions that are holomorphic off a Jordan curve. (This is joint work with Vassili Nestoridis and Christos Papadimitropoulos.)

(This talk is part of the Analysis series.)

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