Spectral multipliers on metabelian groups.
Waldemar Hebisch (2000)
Revista Matemática Iberoamericana
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Let G be a Lie group, Xj right invariant vector fields on G, which generate (as a Lie algebra) the Lie algebra of G, L = -Σ Xj 2. (...) In this paper we consider L1(G) boundedness of F(L) for (some) metabelian G and a distinguished L on G. Of the main interest is that the group is of exponential growth, and possibly higher rank. Previously positive results about higher...