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arXiv · 2106.13138

Generalized indefinite strings with purely discrete spectrum

Jonathan Eckhardt·Aleksey Kostenko
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Abstract

We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the isospectral problem associated with the conservative Camassa-Holm flow and to Schr\"odinger operators with $\delta'$-interactions.

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Jonathan Eckhardt, Aleksey Kostenko. 2021-06-24. Generalized indefinite strings with purely discrete spectrum. https://doi.org/10.1007/978-3-031-31139-0_16

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