Vojkan Jaksic Topics in Spectral Theory (506K, pdf) ABSTRACT. These lecture notes are based on the lectures the author gave in the Summer School "Open Quantum Systems", held in Grenoble June 16-July 4, 2003. The main theme of the lecture notes is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis. Spectral theory of rank one perturbations is discussed in some detail.