Conformal Geometry and Analysis on Minimal Representation of O(p,q), PACOM2004, Parallel Session: Lie Groups and Representation Theory, Tunis, Tunisia, September 2004.

We apply methods from conformal geometry of pseudo-Riemannian manifolds to a general construction of an infinite dimensional representation of the conformal group on the solution space of the Yamabe equation. In particular, I will discuss an analytic aspect of the minimal representation of O(p,q) realized on the flat pseudo-Riemannian manifold R^p,q.

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