- Spectral Theory of Infinite-Area Hyperbolic Surfaces (978-3-319-33875-0) - Einband - fest (Hardcover)
From the reviews:
„The core of the book under review is devoted to the detailed description of the Guillopé-Zworski papers … . The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed … . The book gathers together some material which is not always easily available in the literature … . To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader … would certainly benefit greatly from it.“ (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Spectral Theory of Infinite-Area Hyperbolic Surfaces
von David BorthwickThis 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.
