Borthwick Spectral Theory of Infinite-Area Hyperbolic Surfaces
2007
ISBN: 978-0-8176-4653-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 256, 355 Seiten, eBook
Reihe: Progress in Mathematics
ISBN: 978-0-8176-4653-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Hyperbolic Surfaces.- Compact and Finite-Area Surfaces.- Spectral Theory for the Hyperbolic Plane.- Model Resolvents for Cylinders.- TheResolvent.- Spectral and Scattering Theory.- Resonances and Scattering Poles.- Upper Bound for Resonances.- Selberg Zeta Function.- Wave Trace and Poisson Formula.- Resonance Asymptotics.- Inverse Spectral Geometry.- Patterson–Sullivan Theory.- Dynamical Approach to the Zeta Function.
