David Borthwick

Spectral Theory of Infinite-Area Hyperbolic Surfaces (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Birkhäuser Boston
• Erscheinungstermin: 13. September 2007
• Englisch
• ISBN-13: 9780817646530
• Artikelnr.: 37364227

Autorenporträt

David Borthwick is Professor and Director of the Graduate Studies Department of Mathematics and Computer Science at Emory University, Georgia, USA.

Inhaltsangabe

---

Introduction.- Hyperbolic Surfaces.- Selberg Theory for Finite-Area Hyperbolic Surfaces.- Spectral Theory for the Hyperbolic Plane.- Model Resolvents for Cylinders.- The Resolvent.- Spectral and Scattering Theory.- Resonances and Scattering Poles.- Growth Estimates and Resonance Bounds.- Selberg Zeta Function.- Wave Trace and Poisson Formula.- Resonance Asymptotics.- Inverse Spectral Geometry.- Patterson-Sullivan Theory.- Dynamical Approach to the Zeta Function.- Numerical Computations.- Appendix.- References.- Notation Guide.- Index.

Rezensionen

"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)