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

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Chapter Eleven

The analysis of the hypoelliptic Laplacian

The purpose of this chapter is to construct a functional analytic machinery that is adapted to the analysis of the hypoelliptic Laplacian image

Our constructions are inspired by our previous work with Lebeau [BL08, chapter 15]. There are two differences with [BL08]. The first difference is that the symmetric space X is noncompact, while the base manifold in [BL08] was assumed to be compact. A second difference is that in image the quartic term appears. Strictly speaking, it is not directly accessible ...

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