21 citations · 103 across the 27 of their papers we have counts for
34 papers
Oversampling on a class of symmetric regular de Branges spaces
Luis O. Silva, Julio H. Toloza
A de Branges space is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under the map $F(z) \mapst…
Asymptotic analysis of operator families and applications to resonant media
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev +2
We give an overview of operator-theoretic tools that have recently proved useful in the analysis of boundary-value and transmission problems for second-order partial differential e…
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…
Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
Using a generalisation of the classical notion of Dirichlet-to-Neumann map and the related formulae for the resolvents of boundary-value problems, we analyse the asymptotic behavio…
Functional model for boundary-value problems
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the…
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…