3. The sharp Weyl formula

Kapitel in diesem Buch

1. Frontmatter i
2. Contents vii
3. Preface ix
4. 1. A review: The Laplacian and the d'Alembertian 1
5. 2. Geodesics and the Hadamard parametrix 16
6. 3. The sharp Weyl formula 39
7. 4. Stationary phase and microlocal analysis 71
8. 5. Improved spectral asymptotics and periodic geodesics 120
9. 6. Classical and quantum ergodicity 141
10. Appendix 165
11. Notes 183
12. Bibliography 185
13. Index 191
14. Symbol Glossary 193