Spectral Theory of Infinite-area Hyperbolic Surfaces

ISBN: 9780817645243

³ö°æÉç: Springer Verlag

³ö°æÄê: 2007-10

Ò³Êý: 366

¶¨¼Û: $ 123.17

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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.