1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
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…
Sharp Fourier decay estimates for measures supported on the well-approximable numbers
Robert Fraser, Thanh Nguyen
We construct a measure on the well-approximable numbers whose Fourier transform decays at a nearly optimal rate. This gives a logarithmic improvement on a previous construction of…
Oscillatory integrals with phases arising from algebraic number fields
Robert Fraser
We develop a theory of oscillatory integrals whose phase is given by the trace of a polynomial over an algebraic number field. We present an application to the singular integral fo…
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…
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…
Explicit Salem Sets in
Kyle Hambrook
We construct explicit (i.e., non-random) examples of Salem sets in of dimension for every . In particular, we give the first explicit examples o…