spectral multipliers on the free group
Alessio Martini, Detlef Müller (2013)
Studia Mathematica
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Let L be a homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent Lie group on three generators. We prove a theorem of Mikhlin-Hörmander type for the functional calculus of L, where the order of differentiability s > 6/2 is required on the multiplier.