Hypoelliptic Laplacian and Orbital Integrals (AM-177)

Hypoelliptic Laplacian and Orbital Integrals (AM-177)

by Jean-Michel Bismut

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Product Details

ISBN-13: 9780691151304
Publisher: Princeton University Press
Publication date: 08/28/2011
Series: Annals of Mathematics Studies Series
Edition description: New Edition
Pages: 320
Product dimensions: 6.10(w) x 9.10(h) x 0.80(d)

About the Author

Jean-Michel Bismut is professor of mathematics at the Université Paris-Sud, Orsay.

Table of Contents

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



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