#### Vol. 8, No. 5, 2015

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Sharp $L^p$ bounds for the wave equation on groups of Heisenberg type

### Detlef Müller and Andreas Seeger

Vol. 8 (2015), No. 5, 1051–1100
##### Abstract

Consider the wave equation associated with the sub-Laplacian on groups of Heisenberg type. We construct parametrices using oscillatory integral representations and use them to prove sharp ${L}^{p}$ and Hardy space regularity results.

##### Keywords
wave equation, subelliptic Laplacian, Heisenberg group
##### Mathematical Subject Classification 2010
Primary: 35L05, 35S30, 42B15, 43A80