Publication year: 2007
ISBN: 978-0-8176-4653-0
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This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of dramatic recent developments in the field. These developments were prompted by advances in geometric scattering theory in the early 1990s which provided new tools for the study of resonances. Hyperbolic surfaces provide an ideal context in which to introduce these new ideas, with technical difficulties kept to a minimum.
Subject: Mathematics and Statistics, Complex analysis, Distribution, Riemann surfaces, functional analysis, inverse scattering problem, resonance theory, scattering theory, spectral theory