Abstract
We consider singular differential operators of order 2m, m ∈ ℕ, with discrete spectrum in L 2[0, + ∞). 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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Original Russian Text © A. I. Kozko, A. S. Pechentsov, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 1, pp. 39–49.
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Kozko, A.I., Pechentsov, A.S. Regularized traces of higher-order singular differential operators. Math Notes 83, 37–47 (2008). https://doi.org/10.1134/S0001434608010057
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DOI: https://doi.org/10.1134/S0001434608010057