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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA333.SPR. FCT 95077 (Browse shelf) | 1 | Available |
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QA515.SPR. FCT 95073 The geometry of an art | RA409.SPR. FCT 95074 Advances in statistical methods for the health sciences | QA276.SPR. FCT 95075 Introduction to probability with statistical applications | QA333.SPR. FCT 95077 Spectral theory of infinite-area hyperbolic surfaces | QA176.SPR. FCT 95078 Local newforms for GSp(4) | Q360.SPR. FCT 95079 Entropy, search, complexity | QA247.SPR. FCT 95080 Exercises in modules and rings |
Colocação: Online
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. 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, Patterson-Sullivan theory, and the dynamical approach to the zeta function.
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