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Determining Spectra in Quantum Theory

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Table of Contents

* 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


"In my opinion, the basic idea of the monograph is to help graduate students working on spectral theory and beginning researchers in the field to build a toolkit. The book definitely has more than enough material for this purpose, some of which is quite advanced, and it is very up to date. ... In conclusion, I believe that this book will prove extremely useful for its target audience (advanced graduate students with an interest in this area). Moreover, it will also very much feel at home on the bookshelf of an expert."(MATHEMATICAL REVIEWS)

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