Chapter Eight
The case where [
(γ), 
0] = 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 [ (γ), 0] = 0. Our computations can be easily extended to the more general kernels considered in
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