| Abstract: |
| In this talk, we review the direct and inverse spectral theory for generalized indefinite strings, the object introduced in J.\ Eckhardt and A.\ Kostenko, {\em Invent.\ Math.} (2016), and relate it to the conservative Camassa--Holm flow. As one of our main results we are going to present the indefinite analog of M.\ G.\ Krein`s celebrated solution to the string density problem.
The talk is based on joint work with Jonathan Eckhardt. |
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