Geodesic
$L^p$ spectral multipliers on the free group $N_{3,2}$
Alessio Martini1 ; Detlef Müller1
1 Mathematisches Seminar C.-A.-Universität zu Kiel Ludewig-Meyn-Str. 4 D-24118 Kiel, Germany
Studia Mathematica, Tome 217 (2013) no. 1, pp. 41-55 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $L$ be a homogeneous sublaplacian on the $6$-dimensional free $2$-step nilpotent Lie group $N_{3,2}$ 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.
DOI : 10.4064/sm217-1-3
Keywords: homogeneous sublaplacian dimensional step nilpotent lie group three generators prove theorem mikhlin rmander type functional calculus where order differentiability required multiplier

Alessio Martini 1 ; Detlef Müller 1

1 Mathematisches Seminar C.-A.-Universität zu Kiel Ludewig-Meyn-Str. 4 D-24118 Kiel, Germany 
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Alessio Martini; Detlef Müller. $L^p$ spectral multipliers on the free group $N_{3,2}$. Studia Mathematica, Tome 217 (2013) no. 1, pp. 41-55. doi: 10.4064/sm217-1-3

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