Abstract
Krein’s inverse spectral theorem describes the spectral measures τ of the differential operators DmDx with boundary condition f_′(0)=0, if m runs through all nondecreasing functions on [0, ∞). This result will be extended to boundary conditions of the type af_′(0)−f(0)=0 (a ε [0, ∞)).
Other conditions as in Krein’s theorem appear.
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© 1991 Springer-Verlag
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Küchler, U., Neumann, K. (1991). An extension of Krein’s inverse spectral theorem to strings with nonreflecting left boundaries. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXV. Lecture Notes in Mathematics, vol 1485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100870
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DOI: https://doi.org/10.1007/BFb0100870
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