4 papers
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav KovaÄ, 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…
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…
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…
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 -di…