3 papers
math.CA2026
Discrete Pauli pairs
Torgeir Keun Lysen
We determine sharp density thresholds for when discrete Pauli pairs with Gaussian decay must be classical Pauli pairs. More precisely, we identify when equality of the sampled modu…
math.CA2026
A discrete Hardy uncertainty principle
Torgeir Keun Lysen
We show that knowing the decay of a function on a discrete set and the decay of its Fourier transform on a discrete set is e…
math.CA2025
Critical and asymmetric Fourier uniqueness pairs
Torgeir Keun Lysen
Motivated by the recent work of Kulikov, Nazarov, and Sodin, we construct sufficient conditions for discrete subsets of , which lie between the supercritical and subcri…