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math.FA2026
Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications
Nassim Athmouni, Mohsen Ben Abdallah, Mondher Damak +3
We develop a local Lie theory for Lie algebras equipped with a quasi-norm, i.e., complete topological vector spaces satisfying a relaxed triangle inequality $\|x+y\|\le \Ctri(\|x\|…
math.FA2024
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…