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math.FA2025
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.FA2025
Decomposable Fourier Multipliers and an Operator-Algebraic Characterization of Amenability
Cédric Arhancet, Christoph Kriegler
We study the algebra of decomposable Fourier multipliers on the group von Neumann algebra of a locally compact group , a…