Band-limited maximizers for a Fourier extension inequality on the circle
arXiv:1806.0660510 citationsh-index: 34
Originality Synthesis-oriented
AI Analysis
This result provides a concrete characterization of extremizers for a specific Fourier extension inequality, but is limited to a finite-dimensional subspace and is incremental in nature.
The paper proves that constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality on the circle among functions with Fourier modes up to degree 30.
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.