4 papers
The Oracle Theorem for Matrix-Valued Jacobi Operators
Silas L. Carvalho, Douglas C. P. Freitas
This paper develops the matrix-valued analogue of the reflectionless and oracle framework for Jacobi operators. Starting from matrix-valued Weyl--Titchmarsh -functions on the Si…
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…
Refined decay rates of -semigroups on Banach spaces
Genilson S. de Santana, Silas L. Carvalho
We study rates of decay for -semigroups on Banach spaces under the assumption that the norm of the resolvent of the semigroup generator grows with $\vert s\vert^β\log(\vert s\…
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…