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Sturm-Liouville operators with inner singularities and indefinite inner products

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Inverse Problems

We consider SL differential operators with a potential having a singularity in the interior of the interval. In some situations (e.g. for a Bessel type singularity) the differential expression generates a self-adjoint operator in a Pontryagin space. These considerations are related to M.G.Krein’s method for solving the inverse spectral problem for SL operators. Joint work with Malcolm Brown and Matthias Langer.

This talk is part of the Isaac Newton Institute Seminar Series series.

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