The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: Convolution Powers as a Fourier Transform Alternative When studying sequences of convolution operators, the curvature or pseudorandomness of measures are reflected in the Fourier transform. But in cases where the Fourier transform is inconvenient or unavailable, it can be gleaned instead from convolution powers of the measure with itself. I will show how this tactic, pioneered by Fefferman and Christ, helps to prove some endpoint results for nonstandard ergodic theorems and singular variants of the Lebesgue Differentiation Theorem. Patrick LaVictoire University of Wisconsin-Madison Email:  patlavic@math.wisc.edu Phone: 510-439-7239   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan