The spectrum of hyperbolic surfaces/
Bergeron, Nicolas.
The spectrum of hyperbolic surfaces/ Nicolas Bergeron ; translated by Farell Brumley. - xiii, 370 pages: illustrations; 24 cm. - Universitext, 0172-5939 . - Universitext. .
Includes bibliographical references (pages 355-361) and indexes.
1. Introduction -- 2. Arithmetic Hyperbolic Surfaces -- 3. Spectral Decomposition -- 4. Maass Forms -- 5. The Trace Formula -- 6. Multiplicity of lambda1 and the Selberg Conjecture -- 7. L-Functions and the Selberg Conjecture -- 8. Jacquet-Langlands Correspondence -- 9. Arithmetic Quantum Unique Ergodicity -- Appendices .
9783319276649 3319276646 9782759805648 2759805646
Spectral theory (Mathematics).
Selberg trace formula
Hyperbolic spaces.
Geometry, Hyperbolic.
516.35 / B496s
The spectrum of hyperbolic surfaces/ Nicolas Bergeron ; translated by Farell Brumley. - xiii, 370 pages: illustrations; 24 cm. - Universitext, 0172-5939 . - Universitext. .
Includes bibliographical references (pages 355-361) and indexes.
1. Introduction -- 2. Arithmetic Hyperbolic Surfaces -- 3. Spectral Decomposition -- 4. Maass Forms -- 5. The Trace Formula -- 6. Multiplicity of lambda1 and the Selberg Conjecture -- 7. L-Functions and the Selberg Conjecture -- 8. Jacquet-Langlands Correspondence -- 9. Arithmetic Quantum Unique Ergodicity -- Appendices .
9783319276649 3319276646 9782759805648 2759805646
Spectral theory (Mathematics).
Selberg trace formula
Hyperbolic spaces.
Geometry, Hyperbolic.
516.35 / B496s