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math.CA2023
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.NT2023
Fourier Dimension Estimates for Sets of Exact Approximation Order: The Badly-Approximable Case
Robert Fraser, Reuben Wheeler
We show for decreasing, positive approximation functions such that and such that t…