12 citations · 24 across the 11 of their papers we have counts for
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Sharp L^4 restriction estimates for surfaces of codimension two in R^5
Jennifer Duncan, Ana Vargas
We prove Fourier adjoint restriction estimates for three-dimensional quadratic surfaces in . These estimates are sharp up to the endpoint, and im…
On the Pointwise Convergence of Solutions to the Schrödinger Equation Along Certain Highly Tangential Curves
Javier Minguillón, Fernando Soria, Ana Vargas
We investigate the Sobolev regularity required for almost everywhere convergence to the initial datum of solutions to the linear Schrödinger equation along certain tangential curve…
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…
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…
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…
On Fourier restriction for finite-type perturbations of the hyperboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
In this note, we continue our research on Fourier restriction for hyperbolic surfaces, by studying local perturbations of the hyperbolic paraboloid which are of the form $z…
A Fourier restriction theorem for a perturbed hyperbolic paraboloid
Stefan Buschenhenke, Detlef Müller, Ana Vargas
In contrast to elliptic surfaces, the Fourier restriction problem for hypersurfaces of non-vanishing Gaussian curvature which admit principal curvatures of opposite signs is still…
Improved bound for the bilinear Bochner-Riesz operator
Eunhee Jeong, Sanghyuk Lee, Ana Vargas
We study bounds for the bilinear Bochner-Riesz operator , in , which is defined by \[ {\mathcal B}^α(f,g)=\iint_{…
A Fourier Restriction Theorem For A Twodimensional Surface Of Finite Type
Stefan Buschenhenke, Detlef Müller, Ana Vargas
The problem of Fourier restriction estimates for smooth hypersurfaces S of finite type in R^3 is by now very well understood for a large class of hypersurfaces…
Interlacing and non-orthogonality of spectral polynomials for the Lamé operator
A. Bourget, T. McMillen, A. Vargas
Polynomial solutions to the generalized Lamé equation, the Stieltjes polynomials, and the associated Van Vleck polynomials have been studied since the 1830's in various contexts in…
A bilinear approach to the restriction and Kakeya conjectures
Terence Tao, Ana Vargas, Luis Vega
Bilinear restriction estimates have been appeared in work of Bourgain, Klainerman, and Machedon. In this paper we develop the theory of these estimates (together with the analogues…