25 citations · 25 across the 9 of their papers we have counts for
3 papers · 1 filter
Limiting absorption principle for long-range perturbation in the discrete triangular lattice setting
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia +1
We examine the discrete Laplacian acting on a triangular lattice, introducing long-range perturbations to both the metric and the potential. Our goal is to establish a Limiting Abs…
On the ascent-descent spectrum
Nassim Athmouni, Mondher Damak, Chiraz Jendoubi
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Fu…
On the continuity of spectra for families of magnetic pseudodifferential operators
Nassim Athmouni, Marius Mantoiu, Radu Purice
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter , we show that the corresponding family o…