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- W1970793605 abstract "For Sturm-Liouville operators on the half line, we show that the property of having singular, singular continuous, or pure point spectrum for a set of boundary conditions of positive measure depends only on the behavior of the potential at infinity. We also prove that existence of recurrent spectrum implies that of singular spectrum and that “almost sure” existence of L_2-solutions implies pure point spectrum for almost every boundary condition. The same results hold for Jacobi matrices on the discrete half line." @default.
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- W1970793605 date "1994-01-01" @default.
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- W1970793605 title "Stability of Spectral Types for Sturm-Liouville Operators" @default.
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- W1970793605 doi "https://doi.org/10.4310/mrl.1994.v1.n4.a4" @default.
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