The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes

• Main Authors: N. A., Jamaludin, Ahmedov, Anvarjon A.
• Format: Article
• Language: English; English
• Published: Universiti Putra Malaysia 2017
• Subjects: Q Science (General)
• Online Access: http://umpir.ump.edu.my/id/eprint/18819/1/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes.pdf; http://umpir.ump.edu.my/id/eprint/18819/2/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes%201.pdf; http://umpir.ump.edu.my/id/eprint/18819/; http://einspem.upm.edu.my/journal/fullpaper/vol11sapril/10.%20Nuramalina.pdf

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 Schrödinger operator in closed domain are obtained. The almost everywhere convergence of the eigenfunctio...