Abstract
A selfadjoint extension of a matrix boundary value problem in which the eigenvalue parameter enters the boundary conditions linearly is constructed by adjoining a finite dimensional space with an indefinite scalar product. A related generalized Lagrange identity involving the V-Bezoutian of the linear matrix polynomials from the boundary conditions is derived.
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Russakovskii, E.M. (1997). Matrix boundary value problems with eigenvalue dependent boundary conditions (the linear case). In: Dym, H., Katsnelson, V., Fritzsche, B., Kirstein, B. (eds) Topics in Interpolation Theory. Operator Theory Advances and Applications, vol 95. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8944-5_21
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DOI: https://doi.org/10.1007/978-3-0348-8944-5_21
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