Two inverse spectral problems for a class of singular Krein strings

Jonathan Eckhardt

doi:10.1093/imrn/rnt049

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arXiv · 1203.2271

Two inverse spectral problems for a class of singular Krein strings

Jonathan Eckhardt

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Abstract

We solve the inverse problem from the spectral measure and the inverse three-spectra problem for the class of singular Krein strings on a finite interval with trace class resolvents. In particular, this includes a complete description of all possible spectral measures and three (Dirichlet) spectra associated with this class of Krein strings. The solutions of these inverse problems are obtained by approximation with Stieltjes strings.

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BibTeX RIS

Jonathan Eckhardt. 2014-07-01. Two inverse spectral problems for a class of singular Krein strings. https://doi.org/10.1093/imrn%2Frnt049

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