THE DISCRETE LAPLACIAN ACTING ON 2−FORMS AND APPLICATION

Hatem Baloudi (1) , Sayda Belgacem , Aref Jeribi (1)

1 FSS - Faculté des Sciences de Sfax

In this paper, we study the discrete Laplacian acting on 2−forms that was introduced and investigated in [7]. We establish a new criterion of essential self-adjointness using the Nelson lemma. Moreover , we give an upper bound on the infimum of the essential spectrum. Furthermore, we establish a link between the adjacency matrix and the discrete Laplacian on 2−forms.

Domaines: Mathématiques [math]

Hatem Baloudi, Sayda Belgacem, Aref Jeribi. THE DISCRETE LAPLACIAN ACTING ON 2−FORMS AND APPLICATION. Bulletin of the Malaysian Mathematical Sciences Society, In press. ⟨hal-01758938v2⟩