David Rottensteiner

activity

20172020

most citedHeisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory

5 citations · 5 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2020

The Harmonic Oscillator on the Heisenberg Group

David Rottensteiner, Michael Ruzhansky

In this note we present a notion of harmonic oscillator on the Heisenberg group $H_{n}$ which forms the natural analogue of the harmonic oscillator on $R^{n}$ under a…

math.FA2018★ 5 cited

Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory

Véronique Fischer, David Rottensteiner, Michael Ruzhansky

We show that generalised time-frequency shifts on the Heisenberg group $H_{n} ≅ R^{2 n + 1}$ , realised as a unitary irreducible representation of a nilpotent Lie g…

math.RT2017

Orthonormal Bases in the Orbit of Square-Integrable Representations of Nilpotent Lie Groups

Karlheinz Gröchenig, David Rottensteiner

Let $G$ be a connected, simply connected nilpotent group and $π$ be a square-integrable irreducible unitary representation modulo its center $Z (G)$ on $L^{2} (R^{d})$ . We prove…