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"A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis."

"This book is essentially a guided tour of the fundamental concepts in digital signalprocessing (DSP) and analysis, in which the guide is not a theoretician of thevarious algorithms involved, but a user of them; a scientist that early in her lifestarted studying these techniques to apply them in a proper and fruitful way in herresearch work. Therefore the approach to the various topics is the approach of auser, more concerned about the way to best exploit the possibilities they offer,rather than their purely mathematical facets."

"This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from the stability of matter to properties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first of a series of volumes reporting every two years on recent progress in spectral theory."

"This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis."