Chapter Two. The hypoelliptic Laplacian on X = G/K

Kapitel in diesem Buch

1. Frontmatter i
2. Contents vii
3. Acknowledgments xi
4. Introduction 1
5. Chapter One. Clifford and Heisenberg algebras 12
6. Chapter Two. The hypoelliptic Laplacian on X = G/K 22
7. Chapter Three. The displacement function and the return map 48
8. Chapter Four. Elliptic and hypoelliptic orbital integrals 76
9. Chapter Five. Evaluation of supertraces for a model operator 92
10. Chapter Six. A formula for semisimple orbital integrals 113
11. Chapter Seven. An application to local index theory 120
12. Chapter Eight. The case where [k (γ) ; p0] = 0 138
13. Chapter Nine. A proof of the main identity 142
14. Chapter Ten. The action functional and the harmonic oscillator 161
15. Chapter Eleven. The analysis of the hypoelliptic Laplacian 187
16. Chapter Twelve. Rough estimates on the scalar heat kernel 212
17. Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b 248
18. Chapter Fourteen. The heat kernel q^X_b;_t for bounded b 262
19. Chapter Fifteen. The heat kernel q^X_b;_t for b large 290
20. Bibliography 317
21. Subject Index 323
22. Index of Notation 325