1 citations · 2 across the 2 of their papers we have counts for
2 papers
math.FA2023★ 1 cited
The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
Cédric Arhancet, Lukas Hagedorn, Christoph Kriegler +1
This paper investigates the functional calculus of the harmonic oscillator on each Moyal-Groenewold plane, the noncommutative phase space which is a fundamental object in quantum m…
math.FA2022★ 1 cited
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
Jan van Neerven, Pierre Portal, Himani Sharma
We consider operators acting on a UMD Banach lattice that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\fr…