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.

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StatusFormatAccessCall NumberItem Location
Book/TextUse in library QA333 .B677 2007Off-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