# Hypoelliptic Laplacian and Orbital Integrals, Vol. 1

By **Jean-Michel Bismut**

- ISBN-13: 9780691151304
- Series: [Annals Of Mathematics Studies](https://mybookbandits.com/series/annals-of-mathematics-studies)
- Publisher: Princeton University Press
- Format: Paperback
- Pages: 344
- Published: 28 Aug 2011

## About this book

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

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