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

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4 papers · 1 filter

math.FA2024★ 1 cited

Classical harmonic analysis viewed through the prism of noncommutative geometry

Cédric Arhancet

The aim of this paper is to bridge noncommutative geometry with classical harmonic analysis on Banach spaces, focusing primarily on both classical and noncommutative $L^{p}$ …

math.CA2024

Functional calculus and semilinear evolution equations for the Taibleson operator on non-Archimedean local fields

Cédric Arhancet, Christoph Kriegler

For any non-Archimedean local field $K$ and any integer $n \geq 1$ , we show that the Taibleson operator admits a bounded $H^{\infty} (Σ_{θ})$ functional calculus on th…

quant-ph2024

Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras

Cédric Arhancet

We investigate a new class of unital quantum channels on $M_{2^{k}}$ , acting as radial multipliers when we identify the matrix algebra $M_{2^{k}}$ with a finite-dimen…

math.FA2024

Curvature, Dolbeault-Dirac operators, and an $L^{p}$ -index theorem on compact Kähler manifolds

Cédric Arhancet

We develop an $L^{p}$ -Banach noncommutative-geometric framework for Dolbeault-Dirac operators on compact Kähler manifolds with coefficients in a Hermitian holomorphic vector…

Classical harmonic analysis viewed through the prism of noncommutative geometry

Functional calculus and semilinear evolution equations for the Taibleson operator on non-Archimedean local fields

Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras

Curvature, Dolbeault-Dirac operators, and an Lp-index theorem on compact Kähler manifolds

Curvature, Dolbeault-Dirac operators, and an $L^{p}$ -index theorem on compact Kähler manifolds