Geodesic
Description of Generalized Resolvents and Characteristic Matrices of Differential Operators in Terms of the Boundary Parameter
Matematičeskie zametki, Tome 90 (2011) no. 4, pp. 558-583

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We supplement and further develop well-known results due to Shtraus on the generalized resolvents and spectral functions of the minimal operator $L_0$ generated by a formally self-adjoint differential expression of even order with operator coefficients given on the interval $[0,b\rangle$, where $b\le\infty$. Our approach is based on the notion of a disintegrating boundary triple, which allows us to establish a relation between the Shtraus method and boundary-value problems with spectral parameter in the boundary condition. In particular, we obtain a parametrization of all the characteristic matrices $\Omega(\lambda)$ of the operator $L_0$ in terms of the spectral parameter corresponding to a boundary-value problem. Such a parametrization is given as a block representation of the matrix $\Omega(\lambda)$, as well as by formulas similar to Krein's well-known formula for generalized resolvents.
Keywords: differential operator of even order, minimal operator, self-adjoint operator, generalized resolvent, characteristic matrix, boundary-value problem, deficiency index, boundary triple, holomorphic function, Nevanlinna function, Weyl function. 
V. I. Mogilevskii. Description of Generalized Resolvents and Characteristic Matrices of Differential Operators in Terms of the Boundary Parameter. Matematičeskie zametki, Tome 90 (2011) no. 4, pp. 558-583. http://geodesic.mathdoc.fr/item/MZM_2011_90_4_a6/
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     journal = {Matemati\v{c}eskie zametki},
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     volume = {90},
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