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

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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.

Keywords: eigenfunction expansions; piecewise smooth functions; power of Schrodinger operator

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810903043255

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

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