A variational restriction theorem
Classical Analysis and ODEs
2021-09-16 v3
Abstract
We establish variational estimates related to the problem of restricting the Fourier transform of a three-dimensional function to the two-dimensional Euclidean sphere. At the same time, we give a short survey of the recent field of maximal Fourier restriction theory.
Cite
@article{arxiv.1809.09611,
title = {A variational restriction theorem},
author = {Vjekoslav Kovač and Diogo Oliveira e Silva},
journal= {arXiv preprint arXiv:1809.09611},
year = {2021}
}
Comments
10 pages, v2: bibliography is updated, a short survey of the maximal Fourier restriction is included, v3: introduction is reorganized according to referee's suggestions