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math.CA2019
Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres
Diogo Oliveira e Silva, René Quilodrán
We prove that constant functions are the unique real-valued maximizers for all adjoint Fourier restriction inequalities on the unit sphere $\mathbb{S}^{d-1}\subset\mat…
math.CA2019
A Universality Law For Sign Correlations of Eigenfunctions of Differential Operators
Felipe Gonçalves, Diogo Oliveira e Silva, Stefan Steinerberger
We establish a universality law for sequences of functions satisfying a form of WKB approximation on compact intervals. This includes eigenfunctions of…