This article is cited in 4 papers

About the approximate solution of the inverse problem of the spectral analysis for Laplace operator

A. I. Sedov

Magnitogorsk State University

Abstract: We give the sufficient conditions imposed on a sequence of complex numbers for which there exists such pertubatied Laplace operator, that its spectrum is equal to the given sequence. The algorithm for the approximate finding of the pertubation operator is given.

Keywords: Laplace operator, operator of trace class, spectrum, trace, perturbation, eigenvalue.

UDC: 517.984.54

Received: 13.03.2010