Spectral multipliers for Laplacians with drift on Damek-Ricci spaces

Abstract

We prove a multiplier theorem for certain Laplacians with drift on Damek-Ricci spaces, which are a class of Lie groups of exponential growth. Our theorem generalizes previous results obtained by W. Hebisch, G. Mauceri and S. Meda on Lie groups of polynomial growth.

arXiv comment13 pages