3 papers
math.CA2025
Fourier restriction and well-approximable numbers
Robert Fraser, Kyle Hambrook, Donggeun Ryou
We use a deterministic construction to prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem for dimension and parameter range…
math.CA2025
Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions
Robert Fraser, Kyle Hambrook, Donggeun Ryou
We prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions and the full parameter range . Our const…
math.CA2025
Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set
Robert Fraser
We consider measures supported on sets of irrational numbers possessing many consecutive partial quotients satisfying a condition based on the previous partial quotients. We show t…