23 citations · 49 across the 13 of their papers we have counts for
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math.CA2020
Fourier restriction for smooth hyperbolic 2-surfaces
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We prove Fourier restriction estimates by means of the polynomial partitioning method for compact subsets of any sufficiently smooth hyperbolic hypersurface in threedimensional euc…
math.CA2020
A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We consider a surface with negative curvature in which is a cubic perturbation of the saddle. For this surface, we prove a new restriction theorem, analogous to the theo…
math.CA2020
Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
We continue our research on Fourier restriction for hyperbolic surfaces, by studying local perturbations of the hyperbolic paraboloid which are of the form wher…