3 papers
math.CA2026
Fourier restriction estimates based on -dimensions: beyond Stein--Tomas
Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana
The well-known Stein--Tomas restriction theorem gives the sharp range of for which restriction estimates hold for the surface measure on the sphere. This was gener…
math.CA2026
On the number of 3APs in fractal sets
Marc Carnovale, Steven Senger
We use techniques from the study of the Falconer distance conjecture to explore conditions which guarantee largeness (in terms of bounded density/Lebesgue measure and Hausdor…
math.CA2025
restriction estimates from the Fourier spectrum
Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana
The Stein--Tomas restriction theorem is an important result in Fourier restriction theory. It gives a range of for which restriction estimates hold for a given mea…