Spectral Theory of Infinite-Area Hyperbolic Surfaces (Progress in Mathematics)

Author: David Borthwick
ISBN 10: 0817645241
ISBN 13: 9780817645243
Edition: 2007
Release: 2007-10-01
Format: Hardcover (366 pages)
List Price: $59.95
Tags: Science, General,
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Book Description:
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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