D. Müller

activity

20052020

most citedSharp

L^{p}

-bounds for the wave equation on groups of Heisenberg type

30 citations · 110 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.AP2016★ 13 cited

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Julian Ahrens, Michael G. Cowling, Alessio Martini +1

A sharp $L^{p}$ spectral multiplier theorem of Mihlin--Hörmander type is proved for a distinguished sub-Laplacian on quaternionic spheres. This is the first such result on compact su…

math.AP2015★ 21 cited

Spectral multipliers on $2$ -step groups: topological versus homogeneous dimension

Alessio Martini, Detlef Müller

Let $G$ be a $2$ -step stratified group of topological dimension $d$ and homogeneous dimension $Q$ . Let $L$ be a homogeneous sub-Laplacian on $G$ . By a theorem due to Christ and to…

math.AP2014★ 2 cited

Analysis of invariant PDO's on the Heisenberg group

Detlef Müller

In these lecture notes, the representation theory of the Heisenberg group as well as Howe's construction of the metaplectic group by means of twisted convolution operators with gen…

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Spectral multipliers on 2-step groups: topological versus homogeneous dimension

Analysis of invariant PDO's on the Heisenberg group

Spectral multipliers on $2$ -step groups: topological versus homogeneous dimension