Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

Cowling, Michael ; Giulini, Saverio ; Hulanicki, Andrzej ; Mauceri, Giancarlo

Studia Mathematica, Tome 108 (1994), p. 103-121 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 1994-01-01

Zbl 0820.43001

EUDML-ID : urn:eudml:doc:216123

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