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Orlicz spaces and the uncertainty principle
A. Iosevich, I. Li, Z. Li, E. Yu
https://arxiv.org/abs/2509.05185 https://arxiv.org/pdf/2509.05185

Orlicz spaces and the uncertainty principle
Let $f$ be a finite signal. The classical uncertainty principle tells us that the product of the support of $f$ and the support of $\hat{f}$, the Fourier transform of $f$, must satisfy $|supp(f)|\cdot|supp(\hat{f})|\geq |G|$. Recently, Iosevich and Mayeli improved the uncertainty principle for signals with Fourier supported on generic sets. This was done by employing the Fourier restriction theory in $L^p$ spaces. In this paper, we extended the $(p,q)$-restriction …