Research Catalog
Spectral theory of infinite-area hyperbolic surfaces
- Title
- Spectral theory of infinite-area hyperbolic surfaces / David Borthwick.
- Author
- Borthwick, David.
- Publication
- Boston, Mass. : Birkhäuser ; [London] : [Springer distributor], ©2007.
Items in the Library & Off-site
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1 Item
Status | Format | Access | Call Number | Item Location |
---|---|---|---|---|
Book/Text | Use in library | QA333 .B677 2007 | Off-site |
Details
- Description
- xi, 355 pages : illustrations; 25 cm
- Summary
- "This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of dramatic recent developments in the field. These developments were prompted by advances in geometric scattering theory in the early 1990s which provided new tools for the study of resonances. Hyperbolic surfaces provide an ideal context in which to introduce these new ideas, with technical difficulties kept to a minimum."--Jacket.
- Series Statement
- Progress in mathematics ; v. 256
- Uniform Title
- Progress in mathematics (Boston, Mass.) ; v. 256.
- Alternative Title
- Spectral theory of infinite area hyperbolic surfaces
- Subject
- Bibliography (note)
- Includes bibliographical references (pages 341-350) and index.
- Contents
- Machine generated contents note: 1. Introduction -- 2. Hyperbolic Surfaces -- 3. Compact and Finite-Area Surfaces -- 4. Spectral Theory for the Hyperbolic Plane -- 5. Model Resolvents for Cylinders -- 6. The Resolvent -- 7. Spectral and Scattering Theory -- 8. Resonances and Scattering Poles -- 9. Upper Bound for Resonances -- 10. Selberg Zeta Function -- 11. Wave Trace and Poisson Formula -- 12. Resonance Asymptotics -- 13. Inverse Spectral Geometry -- 14. Patterson-Sullivan Theory.
- ISBN
- 9780817645243
- 0817645241
- 9780817646530
- 0817646531
- LCCN
- 2007932363
- 99819202233
- OCLC
- ocn124025851
- 124025851
- SCSB-1449345
- Owning Institutions
- Princeton University Library