On the Spectral Expansions Connected with Schrödinger’s Operator of Continuous Functions in a Closed Domain

On the Spectral Expansions Connected with Schrödinger’s Operator of Continuous Functions in a Closed Domain
Abdumalik A. Rakhimov, Kamran Zakaria and Nazir Ali Khan

http://dx.doi.org/10.6000/1927-5129.2012.08.02.56

Abstract: Present paper is devoted to study of uniformly convergence of spectral expansions in a closed domain. We consider here as a spectral expansions eigenfunction expansions connected with one Schrodinger’s operator with singular potential in two dimensional domains with smooth boundary.

Keywords: Eigenfunction, Eigenvalues, Expansions, Regularization, Riesz means, Mean value formula, Singular potential, Boundary problem, Hamiltonian, Sobolev spaces.