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.
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piecewise smooth functions;
power of Schrodinger operator
Document Type: Research Article
Institute of Advanced Technology (ITMA), University of Putra Malaysia, 43400, Serdang, Selangor
Department of Mathematics and Information technology, National University of Uzbekistan, Uzbekistan
Publication date: 2009-06-01
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