Trasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$

Valentina Casarino, Paolo Ciatti

By using the notion of contraction of Lie groups, we transfer $L^p-L^2$ estimates for joint spectral projectors from the unit complex sphere $\sfera$ in ${\mathbb{C}}^{n+1}$ to the…