Add to ORKGThis thesis is concerned with the restriction theory of the Fourier transform. We prove two restriction estimates for the Fourier transform. The first is a bilinear estimate for the light cone when the exponents are on a critical line. This extends results proven by Wolff, Tao and Lee-Vargas. The second result is a linear restriction estimate for surfaces with positive Gaussian curvature that improves over estimates proven by Bourgain and Guth, and gives the best known exponents for the well-known restriction conjecture for dimensions that are multiples of three
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. We show, using a Knapp-type homogeneity argument, that the (Lp, L2) restriction theorem im...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
We say that a restriction theorem holds for a curve (gamma) (t) in (//R)('n) if for all f(epsilon) (...
Abstract. This paper contains a brief survey about the state of progress on the restriction of the F...
A Fourier restriction estimate is obtained for a broad class of conic surfaces by adding a weight to...
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using w...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
Consider the Fourier restriction operators associated to curves in R-d, d >= 3. We prove for various...
The purpose of this note is to showcase a certain line of research that connects harmonic analysis, ...
Abstract. E. M. Stein’s restriction problem for Fourier transforms is a deep and only partially solv...
In this talk we will discuss some results in discrete Fourier restriction estimates, a type of expon...
Abstract. We prove a uniform Fourier extension-restriction estimate for a certain class of curves in...
We will present new restriction estimates for surfaces of finite type. We give the sharp Lp-Lq estim...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. We show, using a Knapp-type homogeneity argument, that the (Lp, L2) restriction theorem im...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
We say that a restriction theorem holds for a curve (gamma) (t) in (//R)('n) if for all f(epsilon) (...
Abstract. This paper contains a brief survey about the state of progress on the restriction of the F...
A Fourier restriction estimate is obtained for a broad class of conic surfaces by adding a weight to...
We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using w...
In connection with the restriction problem in Rn for hypersurfaces including the sphere and parabolo...
Consider the Fourier restriction operators associated to curves in R-d, d >= 3. We prove for various...
The purpose of this note is to showcase a certain line of research that connects harmonic analysis, ...
Abstract. E. M. Stein’s restriction problem for Fourier transforms is a deep and only partially solv...
In this talk we will discuss some results in discrete Fourier restriction estimates, a type of expon...
Abstract. We prove a uniform Fourier extension-restriction estimate for a certain class of curves in...
We will present new restriction estimates for surfaces of finite type. We give the sharp Lp-Lq estim...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. We show, using a Knapp-type homogeneity argument, that the (Lp, L2) restriction theorem im...
In the first part we consider restriction theorems for hypersurfaces [Gamma] in Rn, with the affine ...