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Spectral multipliers on metabelian groups. (English) Zbl 0965.43006

Let \(G\) be some metabelian group which is of exponential growth and possibly higher rank. The author considers \(L^1(G)\) boundedness of some spectral multipliers related to distinguished sublaplacians on \(G\).
Reviewer: Yang Dachun (Jena)

MSC:

43A80 Analysis on other specific Lie groups
22E30 Analysis on real and complex Lie groups
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
22E25 Nilpotent and solvable Lie groups
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