Article

On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator

Ravshan AshurovInstitute of Advanced Technology (ITMA) , University of Putra Malaysia , 43400, Serdang, SelangorSanjar KaraevDepartment of Mathematics and Information technology , National University of Uzbekistan , Tashkent, Uzbekistan

Applicable Analysisjournal2009en

ABI

Abstract

The eigenfunction expansions of an integer power of the Schrödinger operator in an arbitrary two-dimensional domain are considered. The convergence of the corresponding expansions of piecewise smooth functions is proved. When the dimension of the domain is greater than two, then it is well known that this result is not valid any more.

Topics

Advanced Mathematical Modeling in Engineering Numerical methods in inverse problems Mathematical Analysis and Transform Methods

Identifiers

DOI: 10.1080/00036810903043255

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