Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, September 12, 2019.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, September 12, 2019

4:00 pm in 245 Altgeld Hall,Thursday, September 12, 2019

#### Non-Smooth Harmonic Analysis

###### Palle Jorgensen   [email] (University of Iowa)

Abstract: While the framework of the talk covers a wider view of harmonic analysis on fractals, it begins with a construction by the author of explicit orthogonal Fourier expansions for certain fractals. It has since branched off several directions, each one dealing with aspect of the wider subject. The results presented cover (among other papers) joint work with Steen Pedersen, then later, with Dorin Dutkay. Fractals. Intuitively, it is surprising that any selfsimilar fractals in fact do admit orthogonal Fourier series. And our initial result generated surprised among members of the harmonic analysts community. The theme of Fourier series on Fractals has by now taken off in a number of diverse directions; e.g., (i) wavelets on fractals, or frames; (ii) non-commutative analysis on graph limits, to mention only two. Two popular question are: “What kind of fractals admit Fourier series?” “If they don’t, then what alternative harmonic analysis might be feasible?”