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math.DG2013
Conformal maps of Carnot groups
Michael G. Cowling, Alessandro Ottazzi
If f is a conformal mapping defined on a connected open subset of a Carnot group G, then either f is the composition of a translation, a dilation and an isometry, or G is the nilpo…
math.FA2013
Spectral multipliers for Laplacians with drift on Damek-Ricci spaces
Alessandro Ottazzi, Maria Vallarino
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 resul…