* Preface * Measures and Transforms > Measures > Fourier Transform > The Wavelet Transform > Borel Transform > Gesztesy-Krein-Simon 'E' Function > Notes * Selfadjointness and Spectrum > Selfadjointness > Spectrum and Resolvent Sets > Spectral Theorem > Spectrol Measures and Spectrum > Spectral Theorem in the Hahn-Hellinger Form > Components of the Spectrum > Characterization of the States in Spectral Subspaces > Notes * Criteria for Identifying the Spectrum > Borel Transform > Fourier Transform > Wavelet Transform > Eigenfunctions > Commutators > Criteria Using Scattering Theory > Notes * Operators of Interest > Unperturbed Operators > Perturbed Operators > Notes * Applications > Borel Transforms > Scattering > Notes * References * Index

This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory.