1 citations · 1 across the 5 of their papers we have counts for
6 papers
Spectral analysis of infinite Marchenko-Slavin matrices
Sergio Palafox, Luis O. Silva
This work tackles the problem of spectral characterization of a class of infinite matrices arising from the modelling of small oscillations in a system of interacting particles. Th…
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…
On the spectral -continuity
Salvador Sánchez-Perales, Sergio Palafox, Tomás Pérez-Becerra
In this paper we study the -continuity of the spectrum and some of its parts. We show that the approximate point spectrum is upper semi--continuous at every Fredholm…
Inverse spectral analysis for a class of infinite band symmetric matrices
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
This note deals with the direct and inverse spectral analysis for a class of infinite band symmetric matrices. This class corresponds to operators arising from difference quations…
Inverse spectral analysis for a class of finite band symmetric matrices
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
In this note, we solve an inverse spectral problem for a class of finite band symmetric matrices. We provide necessary and sufficient conditions for a matrix valued function to be…
On a linear interpolation problem for n-dimensional vector polynomials
Mikhail Kudryavtsev, Sergio Palafox, Luis O. Silva
This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n scalar pol…