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math.SP2025
Hölder continuity and Fourier asymptotics of spectral measures for 1D Schrödinger operators under decaying perturbations
M. Aloisio, Silas L. Carvalho, C. R. de Oliveira
We establish -Hölder continuity, or even the Lipschitz property, for the spectral measures of half-line discrete Schrödinger operators under suitable boundary conditio…
math.SP2021
Slow dynamics for self-adjoint semigroups and unitary evolution groups
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira +1
We obtain slow dynamics for self-adjoint semigroups and unitary evolution groups. For semigroups, the slow dynamics is for orbits, and for the average return probability in the cas…