Detlef Müller

collaborators

3 papers

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 $R^{3}$ 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 $z = x y$ which are of the form $z = x y + h (y),$ wher…

math.CA2014

$L^{p} - L^{2}$ Fourier restriction for hypersurfaces in $R^{3}$ : Part II

Isroil A. Ikromov, Detlef Müller

This is the second of two articles in which we prove a sharp $L^{p} - L^{2}$ Fourier restriction theorem for a large class of smooth, finite type hypersurfaces in R^3, which includes in…

A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning

Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid

Lp−L2 Fourier restriction for hypersurfaces in R3: Part II

$L^{p} - L^{2}$ Fourier restriction for hypersurfaces in $R^{3}$ : Part II