Numerical Technique For The Inverse Resonance Problem
نویسندگان
چکیده
Motivated by the work of Regge ([19, 20]) we are interested in the problem of recovering a radial potential in R from its resonance parameters, which are zeros of the appropriately defined Jost function. For a potential of compact support these may in turn be identified as the complex eigenvalues of a non-selfadjoint SturmLiouville problem with an eigenparameter dependent boundary condition. In this paper we propose and study a particular computational technique for this problem, based on a moment problem for a function g(t) which is related to the boundary values of the corresponding Gelfand-Levitan kernel. Numerical Technique For The Inverse Resonance Problem William Rundell Department of Mathematics Texas A&M University College Station, TX 77843 Paul Sacks Department of Mathematics Iowa State University Ames, IA 50011 January 30, 2004
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