3 papers
math.FA2026
The mixed spectral problem for radial Schrödinger operators and Paley-Wiener spaces
Yongjiang Duan, Yufei Li, Zeguang Liu
The inverse spectral problem for the radial Schrödinger operators on the finite interval is investigated. The potential is recovered from the given eigenvalues plus its information…
math.FA2026
Deep zero problems and the HRT conjecture
Yufei Li, Zeguang Liu, Kehe Zhu
We investigate a "deep zero problem" proposed by Hedenmalm. We show that there is a natural connection between Hedenmalm's problem and the classical HRT conjecture in time-frequenc…
math.SP2026
The inverse eigenvalue problems for perturbed Bessel operator with mixed data
Zeguang Liu, Xin-Jian Xu
We consider inverse eigenvalue problems for the perturbed Bessel operator in . (1) For the case where the angular-momentum quantum number ,…