Band-limited maximizers for a Fourier extension inequality on the circle
arXiv:1806.06605 · doi:10.1080/10586458.2019.1596847
Abstract
Among the class of functions with Fourier modes up to degree 30, constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality on the circle.
10 pages, 3 figures, 1 table, 1 ancillary file (Mathematica notebook)