Absolutely continuous spectrum of fourth order difference equations |
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Authors: | Fredrick Oluoch Nyamwala |
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Institution: | Department of Mathematics & Applied Statistics, School of Biological & Physical Sciences, Moi University, Box 3900 Eldoret, Kenya |
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Abstract: | We have studied the absolutely continuous spectrum of a selfadjoint subspace extension generated by a three‐term fourth order difference equation with bounded coefficients using subspace theory. In particular, we have shown that the absolutely continuous spectrum exists outside a certain bounded interval. In addition, we have computed the spectral multiplicity as well as the location of absolutely continuous spectrum of selfadjoint subspace extension under certain asymptotic conditions. |
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Keywords: | Eigenvalues deficiency indices absolutely continuous spectrum Primary: 39A20 Secondary: 47A55 |
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