3 papers
math-ph2026
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…
math.SP2025
Hölder continuity and Fourier asymptotics of spectral measures for 1D Schrödinger operators under exponentially 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.FA2023
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\…