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Hypoelliptic Laplacian and Orbital Integrals (AM-177) by Jean-Michel Bismut

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Chapter Six

A formula for semisimple orbital integrals

This chapter is the central part of the book. First, we give an explicit formula for the orbital integrals associated with the heat kernel of image in terms of a Gaussian integral on image In chapter 9, this formula will be obtained by the explicit computation of the asymptotics as b → +∞ of the orbital integrals associated with image. From the formula for the heat kernel, we derive a corresponding formula for ...

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