Affiliation:
1. Laboratoire de Modélisation, Analyse, Contrôle et Statistiques, Département de Mathématiques et Informatique, Faculté des Science Aïn Chock, Université Hassan II de Casablanca, Maroc
Abstract
In this paper, we use the Nelson lemma to give a new proof for the essential self-adjointness of the discrete Laplace operator acting on 3-cochains, which we are defined in our previous paper [A. Baalal and K. Hatim, The discrete Laplacian of a 3-simplicial complex (2019), https://hal.archives-ouvertes.fr/hal-02105789 ]. Moreover, we establish on the infimum of the essential spectrum an upper bound.
Publisher
World Scientific Pub Co Pte Lt
Subject
Discrete Mathematics and Combinatorics