Spectral Theory of InfiniteArea Hyperbolic Surfaces
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The work Spectral Theory of InfiniteArea Hyperbolic Surfaces represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Spectral Theory of InfiniteArea Hyperbolic Surfaces
Resource Information
The work Spectral Theory of InfiniteArea Hyperbolic Surfaces represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Spectral Theory of InfiniteArea Hyperbolic Surfaces
 Statement of responsibility
 by David Borthwick
 Language

 eng
 eng
 Summary
 This book introduces geometric spectral theory in the context of infinitearea 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. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, spectral theory, and ergodic theory. The book highlights these connections, at a level accessible to graduate students and researchers from a wide range of fields. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, characterization of the spectrum, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, PattersonSullivan theory, and the dynamical approach to the zeta function
 Dewey number
 515.93
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 JbjEIfIPuo
 Language note
 English
 LC call number
 QA319329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Mathematics,
 Series volume
 256
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Context of Spectral Theory of InfiniteArea Hyperbolic SurfacesWork of
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