Spectral Theory of Infinite-Area Hyperbolic Surfaces
Author:   David Borthwick
Publisher:   Birkhauser Verlag AG
Edition:   2nd ed. 2016
Volume:   318
ISBN:  

9783319338750


Pages:   463
Publication Date:   26 July 2016
Format:   Hardback
Availability:   In Print   Availability explained
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Spectral Theory of Infinite-Area Hyperbolic Surfaces


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Full Product Details

Author:   David Borthwick
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2nd ed. 2016
Volume:   318
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   9.264kg
ISBN:  

9783319338750


ISBN 10:   3319338757
Pages:   463
Publication Date:   26 July 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

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)


"""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)"


Author Information

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

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