Hebisch, Waldemar Spectral multipliers on metabelian groups. (English) Zbl 0965.43006 Rev. Mat. Iberoam. 16, No. 3, 597-604 (2000). 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) Cited in 5 Documents 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 Keywords:Lie group; metabelian group; spectral multiplier; sublaplacian PDFBibTeX XMLCite \textit{W. Hebisch}, Rev. Mat. Iberoam. 16, No. 3, 597--604 (2000; Zbl 0965.43006) Full Text: DOI EuDML