Abstract:The abstract theory of boundary triples is applied to the classical Jacobi differential operator and its powers in order to obtain the Weyl m-function for several self-adjoint extensions with interesting boundary conditions: separated, periodic and those that yield the Friedrichs extension. These matrix-valued Nevanlinna-Herglotz m-functions are, to the best knowledge of the author, the first explicit examples to stem from singular higher-order differential equations.The creation of the boundary triples involv… Show more
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