[HTML][HTML] One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum

AD Baranov, DV Yakubovich - Journal of Mathematical Analysis and …, 2015 - Elsevier
We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an
unbounded selfadjoint operator and give criteria for the possibility to remove the whole …

De Branges spaces and Krein's theory of entire operators

LO Silva, JH Toloza - arXiv preprint arXiv:1309.1991, 2013 - arxiv.org
This work presents a contemporary treatment of Krein's entire operators with deficiency
indices $(1, 1) $ and de Branges' Hilbert spaces of entire functions. Each of these theories …

[HTML][HTML] A Class of -Entire Schrödinger operators

LO Silva, JH Toloza - Complex Analysis and Operator Theory, 2014 - Springer
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 the n n …

[HTML][HTML] A Complete Spectral Analysis of Generalized Gribov–Intissar's Operator in Bargmann Space

A Intissar, JK Intissar - Complex Analysis and Operator Theory, 2019 - Springer
In the Bargmann representation, we study mathematically rigorously some interesting
spectral properties of generalized Gribov–Intissar's operator: H _ λ', μ, λ= λ'a^*^ p+ 1 a^ p+ …

Oversampling and undersampling in de Branges spaces arising from regular Schrödinger operators

LO Silva, JH Toloza, A Uribe - Complex Analysis and Operator Theory, 2019 - Springer
Oversampling and Undersampling in de Branges Spaces Arising from Regular Schrödinger
Operators | Complex Analysis and Operator Theory Skip to main content SpringerLink Log in …

Electrodic reduction of core–shell ferrite magnetic nanoparticles

CL Filomeno, EP Marinho, R Aquino… - New Journal of …, 2016 - pubs.rsc.org
We present square-wave voltammetry (SWV) and controlled potential coulometry (bulk
electrolysis) experiments performed on maghemite and ferrite nanoparticles of core–shell …

[HTML][HTML] Dissipative extension theory for linear relations

JI Rios-Cangas, LO Silva - Expositiones Mathematicae, 2020 - Elsevier
This work is devoted to dissipative extension theory for dissipative linear relations. We give a
self-consistent theory of extensions by generalizing the theory on symmetric extensions of …

Singular Schrödinger operators as self-adjoint extensions of 𝑁-entire operators

L Silva, G Teschl, J Toloza - Proceedings of the American Mathematical …, 2015 - ams.org
We investigate the connections between Weyl–Titchmarsh–Kodaira theory for one-
dimensional Schrödinger operators and the theory of $ n $-entire operators. As our main …

On a criterion for the determinate–indeterminate dichotomy of the moment problem

DH Bustos, S Palafox, LO Silva - Boletín de la Sociedad Matemática …, 2023 - Springer
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 …

[PDF][PDF] On the complete indeterminacy and the chaoticity of generalized Heun's operator in Bargmann space

A Intissar - arXiv preprint ArXiv:1401.6560, 2014 - researchgate.net
Abstract In Communications in Mathematical Physics, no. 199,(1998), we have considered
the Heun operator H= a∗(a+ a∗) a acting on Bargmann space where a and a∗ are the …