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math.CA2020
Restriction inequalities for the hyperbolic hyperboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three di…
math.CA2020
On regularity and mass concentration phenomena for the sign uncertainty principle
Felipe Gonçalves, Diogo Oliveira e Silva, João P. G. Ramos
The sign uncertainty principle of Bourgain, Clozel & Kahane asserts that if a function and its Fourier transform are nonpositive at the…