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Spectral multipliers for Laplacians with drift on Damek-Ricci spaces

Published 24 Sep 2013 in math.FA | (1309.6154v1)

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.

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