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Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Acknowledgments xi
- Introduction 1
- Chapter One. Clifford and Heisenberg algebras 12
- Chapter Two. The hypoelliptic Laplacian on X = G/K 22
- Chapter Three. The displacement function and the return map 48
- Chapter Four. Elliptic and hypoelliptic orbital integrals 76
- Chapter Five. Evaluation of supertraces for a model operator 92
- Chapter Six. A formula for semisimple orbital integrals 113
- Chapter Seven. An application to local index theory 120
- Chapter Eight. The case where [k (γ) ; p0] = 0 138
- Chapter Nine. A proof of the main identity 142
- Chapter Ten. The action functional and the harmonic oscillator 161
- Chapter Eleven. The analysis of the hypoelliptic Laplacian 187
- Chapter Twelve. Rough estimates on the scalar heat kernel 212
- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b 248
- Chapter Fourteen. The heat kernel qXb;t for bounded b 262
- Chapter Fifteen. The heat kernel qXb;t for b large 290
- Bibliography 317
- Subject Index 323
- Index of Notation 325
Kapitel in diesem Buch
- Frontmatter i
- Contents vii
- Acknowledgments xi
- Introduction 1
- Chapter One. Clifford and Heisenberg algebras 12
- Chapter Two. The hypoelliptic Laplacian on X = G/K 22
- Chapter Three. The displacement function and the return map 48
- Chapter Four. Elliptic and hypoelliptic orbital integrals 76
- Chapter Five. Evaluation of supertraces for a model operator 92
- Chapter Six. A formula for semisimple orbital integrals 113
- Chapter Seven. An application to local index theory 120
- Chapter Eight. The case where [k (γ) ; p0] = 0 138
- Chapter Nine. A proof of the main identity 142
- Chapter Ten. The action functional and the harmonic oscillator 161
- Chapter Eleven. The analysis of the hypoelliptic Laplacian 187
- Chapter Twelve. Rough estimates on the scalar heat kernel 212
- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b 248
- Chapter Fourteen. The heat kernel qXb;t for bounded b 262
- Chapter Fifteen. The heat kernel qXb;t for b large 290
- Bibliography 317
- Subject Index 323
- Index of Notation 325