Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.
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Sturm-Liouville operators with periodically modulated parameters have spectral density that is continuous and positive everywhere on the real line under assumptions on the monodromy matrix at spectral parameter zero.
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Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
Introduces barrier nonsubordinacy and proves it implies absolutely continuous spectrum for block Jacobi matrices, extending d=1 conditions to d greater than or equal to 1.
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Sturm-Liouville operators with periodically modulated parameters. Part I: Regular case
Sturm-Liouville operators with periodically modulated parameters have spectral density that is continuous and positive everywhere on the real line under assumptions on the monodromy matrix at spectral parameter zero.