Fourier Interpolation with Magnitude Only

Qijia Jiang

Abstract: In this paper we prove that all even Schwartz functions $f\colon \mathbb{R}\rightarrow \mathbb{R}$ are uniquely determined by their values at $\{\vert \hat{f}(\pm\sqrt{n})\vert ,f(\pm\sqrt{n/2})\}$ for $n\geq 0$ indexing the non-negative integers.

Submission Type: Full Paper