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

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

2008-11-17

arxiv.org/abs/0811.2708v1

Mathematics

Functional Analysis

Scientific paper

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 reduced Heisenberg group $h^{n}$. In particular, we deduce some estimates recently obtained by H. Koch and F. Ricci on $h^n$. As a consequence, we prove, in the spirit of Sogge's work, a discrete restriction theorem for the sub-Laplacian $L$ on $h^n$.

Affiliated with

Also associated with

No associations

Rating

Trasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Trasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trasferring $L^p$ eigenfunction bounds from $S^{2n+1}$ to $h^n$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466883