A. Arnal

activity

20222026

most citedResolvent estimates for one-dimensional Schrödinger operators with complex potentials

9 citations · 10 across the 6 of their papers we have counts for

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5 papers · 1 filter

math.SP2026

Resolvent estimates for one-dimensional Dirac operators with imaginary potentials

Antonio Arnal, Tho Nguyen Duc, Petr Siegl

We investigate massive one-dimensional Dirac operators perturbed by diagonal matrix potentials of the form $iV$ where the function $V$ is real-valued and unbounded at infinity. Fo…

math.SP2025

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators

Antonio Arnal, Jussi Behrndt, Markus Holzmann +1

We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on…

math.SP2022

Generalised Airy Operators

Antonio Arnal, Petr Siegl

We study the behaviour of the norm of the resolvent for non-self-adjoint operators of the form $A := - \partial_{x} + W (x)$ , with $W (x) \geq 0$ , defined in $L^{2} (R)$ . We provid…

math.SP2022★ 1 cited

Resolvent estimates for the one-dimensional damped wave equation with unbounded damping

Antonio Arnal

We study the generator $G$ of the one-dimensional damped wave equation with unbounded damping. We show that the norm of the corresponding resolvent operator, $∥ (G - λ)^{- 1} ∥$ ,…

math.SP2022★ 9 cited

Resolvent estimates for one-dimensional Schrödinger operators with complex potentials

Antonio Arnal, Petr Siegl

We study one-dimensional Schrödinger operators $H = - \partial_{x}^{2} + V$ with unbounded complex potentials $V$ and derive asymptotic estimates for the norm of the reso…