Fourier restriction for multifractals
Ergodic Theory and Dynamical Systems Seminar
6th March 2025, 2:00 pm – 3:00 pm
Fry Building, 2.04
The Stein—Tomas restriction theorem establishes the connection between Fourier analysis and the geometric properties of measures. In this talk we study an extension of this theorem using the Fourier spectrum, a family of dimensions that live between the Fourier and Hausdorff dimensions. This leads to a restriction estimate on multifractals. Joint work with Marc Carnovale and Jonathan Fraser.
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