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math.CA2021
Restriction of exponential sums to hypersurfaces
Ciprian Demeter, Bartosz Langowski
We prove moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving esti…
math.CA2020★ 1 cited
Sharp -improving estimates for the discrete paraboloid
Shival Dasu, Ciprian Demeter, Bartosz Langowski
We prove -improving estimates for the averaging operator along the discrete paraboloid in the sharp range of in all dimensions .