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Spectral multipliers for Laplacians with drift on Damek–Ricci spaces |
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| Authors: | Alessandro Ottazzi Maria Vallarino |
| Institution: | 1. CIRM Fondazione Bruno Kessler, , 38123 Trento, Italy;2. Dipartimento di Scienze Matematiche Giuseppe Luigi Lagrange, Politecnico di Torino, , 10129 Torino, Italy |
| 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. |
| Keywords: | Laplacian with drift nonunimodular groups spectral multipliers exponential growth MSC (2010) 47A60 42B15 22E30 43A80 |