Malaysian Journal of Mathematical Sciences, April 2017, Vol. 11(S)
Special Issue: The 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016)
The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in \(L_p\) Classes
Jamaludin, N. A. and Ahmedov, A.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper the eigenfunction expansions of the Schrödinger operator with the potential having singularity at one point are considered. The uniform estimations for the spectral function of the Schr�dinger operator in closed domain are obtained. The almost everywhere convergence of the eigenfunction expansions by Riesz means in the classes \(L_p\) classes is proven by estimating the maximal operator in \(L_1\) and \(L_2\) and applying the interpolation theorem for the family of linear operators.
Keywords: Schrödinger operator, almost everywhere convergence and eigenfunction expansions
