Johannes Brasche, Mark M. Malamud, Hagen Neidhardt Weyl function and spectral properties of self-adjoint extensions (340K, postscript) 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.