### Large sets without Fourier restriction theorems

Analysis and Geometry Seminar

25th November 2021, 3:15 pm – 4:15 pm

Fry Building, Zoom

In this talk, we will explore the relationship between Fourier

restriction properties, Hausdorff dimension and Fourier decay in the

context of fractals. While the Stein–Tomas theorem constitutes a

well-known sufficient condition for Fourier restriction, little is known

in terms of necessary conditions. In this direction, I will show that

any measure with Fourier restriction properties avoids a certain

universal set of full Hausdorff dimension.

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