4 papers
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav Kovač, Shohei Nakamura +1
Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…
Mizohata-Takeuchi inequalities for orthonormal systems
Jonathan Bennett, Neal Bez, Susana Gutierrez +2
We establish some weighted inequalities for Fourier extension operators in the setting of orthonormal systems. In the process we develop a direct approach to such inequalitie…
A phase-space approach to weighted Fourier extension inequalities
Jonathan Bennett, Susana Gutierrez, Shohei Nakamura +1
The purpose of this paper is to expose and investigate natural phase-space formulations of two longstanding problems in the restriction theory of the Fourier transform. These probl…
Tomographic Fourier Extension Identities for Submanifolds of
Jonathan Bennett, Shohei Nakamura, Shobu Shiraki
We establish identities for the composition , where is the Fourier extension operator associated with a general smooth -dime…