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math.CA2021★ 1 cited
Stability of sharp Fourier restriction to spheres
Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva
In dimensions , we prove that the constant functions on the unit sphere maximize the weighted adjoint Fourier restrictio…
math.CA2021
Intermittent symmetry breaking and stability of the sharp Agmon--Hörmander estimate on the sphere
Giuseppe Negro, Diogo Oliveira e Silva
We compute the optimal constant and characterise the maximisers at all spatial scales for the Agmon--Hörmander -Fourier adjoint restriction estimate on the sphere. The maximis…