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.
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)
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