Regularized traces of higher-order singular differential operators |
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Authors: | A I Kozko A S Pechentsov |
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Institution: | 1. Moscow State University, Moscow, Russia
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Abstract: | We consider singular differential operators of order 2m, m ∈ ?, with discrete spectrum in L 20, + ∞). For self-adjoint extensions given by the boundary conditions y(0) = y″(0) = ? = y (2m?2)(0) = 0 or y′(0) = y?(0) = ? = y (2m?1)(0) = 0, we obtain regularized traces. We present the explicit form of the spectral function, which can be used for calculating regularized traces. |
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