Borthwick Spectral Theory of Infinite-Area Hyperbolic Surfaces
1. Auflage 2007
ISBN: 978-0-8176-4653-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 355 Seiten, Web PDF
Reihe: Progress in Mathematics
ISBN: 978-0-8176-4653-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book introduces geometric spectral theory in the context of Riemann surfaces. A comprehensive account is given of dramatic recent developments in the context of infinite-area hyperbolic surfaces. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, spectral theory, and ergodic theory. The book highlights these connections, at a level accessible to graduate students and researchers from a wide range of fields.
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.
