Hypoelliptic Laplacian and Orbital Integrals

by Jean-Michel Bismut

Book Overview

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple...

• Format: Paperback
• Language: English
• ISBN: 069115130X
• ISBN13: 9780691151304
• Release Date: August 2011
• Publisher: Princeton University Press
• Length: 344 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"