Title of article :
On the non-propagation theorem and applications
Author/Authors :
ATHMOUNI, Nassim University of Sfax - Faculty of Sciences of Sfax - Department of mathematics, Tunisia , DAMAK, Mondher University of Sfax - Faculty of Sciences of Sfax - Department of mathematics, Tunisia
Abstract :
We use C^*-algebras to determine the non-propagation estimates for a certain class of generalized Schrödinger operators acting on the Hilbert space ell^2(Gamma), where Gamma is a tree, and we give some examples for other classes of potentials.
Keywords :
C^* , algebra , Schrödinger operator , propagation properties , tree
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics