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