01-183 Johannes Brasche, Mark M. Malamud, Hagen Neidhardt

Weyl function and spectral properties of self-adjoint extensions (340K, postscript) May 18, 01

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Abstract. We characterize the spectra of self-adjoint extensions of a symmetric operator with equal deficiency indices in terms of boundary values of their Weyl functions. A complete description is obtained for the point and absolutely continuous spectrum while for the singular continuous spectrum additional assumptions are needed. The results are illustrated by examples.

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