Cédric Arhancet

activity

20092026

most citedNoncommutative Figa-Talamanca-Herz algebras for Schur multipliers

5 citations · 13 across the 35 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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.OA2023★ 1 cited

Nonassociative $L^{p}$ -spaces and embeddings in noncommutative $L^{p}$ -spaces

Cédric Arhancet

We define a notion of nonassociative $L^{p}$ -space associated to a $JBW^{*}$ -algebra (Jordan von Neumann algebra) equipped with a normal faithful state $φ$ . In the pa…

math.CA2023

Separating Fourier and Schur multipliers

Cédric Arhancet, Christoph Kriegler, Christian Le Merdy +1

Let $G$ be a locally compact unimodular group, let $1 \leq p < \infty$ ,let $ϕ \in L^{\infty} (G)$ and assume that the Fourier multiplier $M_{ϕ}$ associated with $ϕ$ is bounded on the noncomm…

The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples

Nonassociative Lp-spaces and embeddings in noncommutative Lp-spaces

Separating Fourier and Schur multipliers

Nonassociative $L^{p}$ -spaces and embeddings in noncommutative $L^{p}$ -spaces