Thin Sets and Convolutions, fall 2011
Tom Körner (Cambridge)
We know that if we convolve a function with itself the result is smoother. But how much smoother can it be? I shall develop the the tools from Fourier analysis and probability theory which enable us to attack this problem. We shall also look at, more or less, related problems on Hausdorff dimension and sets of multiplicity.
Weeks 37 and 38
Monday 12-14, Tuesday 14-16 and Friday 12-14 (first lecture Monday 12.9 12-14, altogether 6 lectures)
No exercise groups.
For additional information of this crash course, ask Eero Saksman (email@example.com)