Spectral projections and resolvent estimates on Damek-Ricci spaces and their applications

Mithun Bhowmik, Utsav Dewan

We prove $L^p-L^{p^{\prime }}$ boundedness of spectral projections and the resolvent of the Laplace-Beltrami operator on Damek-Ricci spaces with the explicit norms in terms of the spe…