On the Restriction of the Fourier Transform to a Conical Surface
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Publication:3700225
DOI10.2307/2000182zbMath0578.42006OpenAlexW4230161039MaRDI QIDQ3700225
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/2000182
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Harmonic analysis in several variables (42B99) Surfaces in Euclidean and related spaces (53A05)
Related Items (24)
Restriction estimates for hyperbolic cone in high dimensions ⋮ A note on the cone restriction conjecture ⋮ Restriction and Kakeya phenomena for finite fields ⋮ Some remarks on the restriction of the Fourier transform to surfaces ⋮ Restriction estimates in a conical singular space: wave equation ⋮ On the restriction of the Fourier transform and Fourier series to circles of lacunary radii ⋮ Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces ⋮ Restriction inequalities for the hyperbolic hyperboloid ⋮ Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces ⋮ Fourier restriction to a hyperbolic cone ⋮ An endline bilinear cone restriction estimate for mixed norms ⋮ A sharp Strichartz estimate for the wave equation with data in the energy space ⋮ Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields ⋮ A Fourier restriction theorem for a two-dimensional surface of finite type ⋮ Weak version of restriction estimates for spheres and paraboloids in finite fields ⋮ Restriction theorems for a surface with negative curvature ⋮ Some convolution inequalities and their applications ⋮ A note on the cone restriction conjecture in the cylindrically symmetric case ⋮ Conjecture and improved extension theorems for paraboloids in the finite field setting ⋮ A Sobolev estimate for the adjoint restriction operator ⋮ Endpoint estimates for bilinear oscillatory integral operators related to restriction to the cone ⋮ Bilinear restriction estimates for surfaces with curvatures of different signs ⋮ On Restriction Estimates for the Zero Radius Sphere over Finite Fields ⋮ A sharp \(L^p-L^q\)-Fourier restriction theorem for a conical surface of finite type
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