Dispersive Estimates for Scalar and Matrix Schr\"odinger operators on   $\mathbb{H}^{n+1}$
  We study resolvent estimates, spectral theory and long time dispersive properties of scalar and matrix Schr\"odinger-type operators on $\mathbb{H}^{n+1}$ for $n \geq 1$. 
David Borthwick and Jeremy L. Marzuola
math.AP