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Regularized traces of singular differential operators. (English) Zbl 1190.47053
In the space L 2 [0,), a higher order selfadjoint differential operator on the positive half-line is explored. It is assumed that the considered operator is lower semibounded. The authors investigate the variation of the regularized trace under perturbation by the operator of multiplication by a real function.
MSC:
47E05Ordinary differential operators
47A10Spectrum and resolvent of linear operators