21 citations · 103 across the 27 of their papers we have counts for
4 papers · 2 filters
Spectral analysis for semi-infinite mass-spring systems
Rafael del Rio, Luis O. Silva
We study how the spectrum of a Jacobi operator changes when this operator is modified by a certain finite rank perturbation. The operator corresponds to an infinite mass-spring sys…
De Branges spaces and Krein's theory of entire operators
Luis O. Silva, Julio H. Toloza
This work presents a contemporary treatment of Krein's entire operators with deficiency indices and de Branges' Hilbert spaces of entire functions. Each of these theories p…
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions
Luis O. Silva, Julio H. Toloza
In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical selfadjoint extension…
A class of -entire Schrödinger operators
Luis O. Silva, Julio H. Toloza
We study singular Schrödinger operators on a finite interval as selfadjoint extensions of a symmetric operator. We give sufficient conditions for the symmetric operator to be in th…