Constantin Bilz

University of Birmingham

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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