Research Catalog

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

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

• Riemann surfaces
• Spectral theory (Mathematics)
• Geometry, Hyperbolic
• Matematisk analys
• Hyperbolische Fläche > Spektraltheorie
• Spektraltheorie > Hyperbolische Fläche

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