Geodesic
Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
Studia Mathematica, Tome 111 (1994) no. 2, pp. 103-121

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We prove that on Iwasawa AN groups coming from arbitrary semisimple Lie groups there is a Laplacian with a nonholomorphic functional calculus, not only for $L^1(AN),$ but also for $L^p(AN)$, where 1 p ∞. This yields a spectral multiplier theorem analogous to the ones known for sublaplacians on stratified groups.
DOI : 10.4064/sm-111-2-103-121

Michael Cowling 1

1 
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Michael Cowling. Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth. Studia Mathematica, Tome 111 (1994) no. 2, pp. 103-121. doi: 10.4064/sm-111-2-103-121

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