On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrodinger operator
Abstract:The eigenfunction expansions of an integer power of the Schrodinger 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.
Document Type: Research Article
Affiliations: 1: Institute of Advanced Technology (ITMA), University of Putra Malaysia, 43400, Serdang, Selangor 2: Department of Mathematics and Information technology, National University of Uzbekistan, Uzbekistan
Publication date: June 1, 2009