Spectral Theory of Infinite-Area Hy - E-book

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Spectral Theory Of Infinite-area Hyperbolic Surfaces - ENG

David Borthwick

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Sinopsis

ISBN:	9780817646530
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Análisis Funcional
Año de publicación:	2007-09-13

This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. By focusing on the scattering theory of hyperbolic surfaces, this work provides a compelling introductory example which will be accessible to a broad audience. The book opens with an introduction to the geometry of hyperbolic surfaces. Then a thorough development of the spectral theory of a geometrically finite hyperbolic surface of infinite volume is given. The final sections include recent developments for which no thorough account exists.

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