21 citations · 103 across the 27 of their papers we have counts for
24 papers · 1 filter
On a criterion for the determinate-indeterminate dichotomy of the moment problem
Diego Hernández Bustos, Sergio Palafox, Luis O. Silva
When the classical Hamburger moment problem has solutions, it has either exactly one solution or infinitely many solutions. Correspondingly, the moment problem is said to be either…
Green matrix estimates of block Jacobi matrices II: Bounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the…
Point mass perturbations of spectral measures
Rafael del Rio, Luis O. Silva, Julio H. Toloza
Using a generalization of the moment problem and the extremal properties of spectral measures corresponding to the selfadjoint extensions of a regular symmetric operator, we study…
Perturbation theory for selfadjoint relations
Josué I. Rios-Cangas, Luis O. Silva
We study Weyl-type perturbation theorems in the context of linear closed relations. We establish general results on perturbations for dissipative relations. In the particular case…
Oversampling and undersampling in de Branges spaces arising from regular Schrödinger operators
Luis O. Silva, Julio H. Toloza, Alfredo Uribe
The classical results on oversampling and undersampling (or aliasing), of functions in Paley-Wiener spaces, are generalized to the case of functions in de Branges spaces arising fr…
Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of t…