Wiki source code of Thin Sets and Convolutions
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1.1 | 1 | = Thin Sets and Convolutions, fall 2011 = | |
2 | |||
3 | === Lecturer === | ||
4 | |||
5 | Tom Körner (Cambridge) | ||
6 | |||
7 | === Scope === | ||
8 | |||
9 | === Type === | ||
10 | |||
11 | Advanced studies. | ||
12 | |||
13 | === Abstract === | ||
14 | |||
15 | 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. | ||
16 | |||
17 | === Lectures === | ||
18 | |||
19 | Weeks 37 and 38 | ||
20 | Monday 12-14, Tuesday 14-16 and Friday 12-14 (first lecture Monday 12.9 12-14, altogether 6 lectures) | ||
21 | |||
22 | === Exams === | ||
23 | |||
24 | === Registration === | ||
25 | |||
26 | Not necessary. | ||
27 | |||
28 | === Exercise groups === | ||
29 | |||
30 | No exercise groups. | ||
31 | |||
32 | === Additional info === | ||
33 | |||
34 | For additional information of this crash course, ask Eero Saksman (eero.saksman@helsinki.fi) | ||
35 | |||
36 | [[http:~~/~~/wiki.helsinki.fi/display/mathstat/Ajankohtaista>>url:http://wiki.helsinki.fi/display/mathstat/Ajankohtaista||rel="nofollow" shape="rect" class="external-link"]] |