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Sturm-Liouville operators with matrix distributional coefficients

Published 13 Dec 2016 in math.FA | (1612.04106v1)

Abstract: The paper deals with singular Sturm-Liouville expressions with matrix-valued distributional coefficients. Due to a suitable regularization, the corresponding operators are correctly defined as quasi-differentials. Their resolvent convergence is investigated and all self-adjoint, maximal dissipative, and maximal accumulative extensions are described in terms of homogeneous boundary conditions of the canonical form.

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