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

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Chapter Eight

The case where [image (γ), image0] = 0

The purpose of this chapter is to evaluate explicitly the Gaussian integral that appears in the right-hand side of our formula in (6.1.2) for the orbital integrals of the heat kernel, when γ is nonelliptic and [image (γ), image0] = 0. Our computations can be easily extended to the more general kernels considered in

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