Spherical distributions on harmonic extensions of pseudo--type groups.
A Clifford algebra approach to simple Lie algebras of real rank two. I: The case.
Transferring eigenfunction bounds from to hⁿ
By using the notion of contraction of Lie groups, we transfer estimates for joint spectral projectors from the unit complex sphere in to the reduced Heisenberg group hⁿ. In particular, we deduce some estimates recently obtained by H. Koch and F. Ricci on hⁿ. As a consequence, we prove, in the spirit of Sogge’s work, a discrete restriction theorem for the sub-Laplacian L on hⁿ.
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