Fourier Interpolation with Magnitude Only

2023 International Conference on Sampling Theory and Applications (SampTA)（2023）

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摘要

In this paper we prove that all even Schwartz functions f : ℝ → ℝ are uniquely determined by their values at $\left\{ {|\hat f( \pm \sqrt n )|,f( \pm \sqrt {n/2} )} \right\}$ for n ≥ 0 indexing the non-negative integers.

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