B. Janssens

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20052026

most citedInformation Transfer Implies State Collapse

7 citations · 15 across the 5 of their papers we have counts for

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math.DG2025

Local noncommutative De Leeuw Theorems beyond reductive Lie groups

Bas Janssens, Benjamin Oudejans

Let $Γ$ be a discrete subgroup of a unimodular locally compact group $G$ . In Math. Ann. 388, 4251-4305 (2024), it was shown that the $L_{p}$ norm of a Fourier multiplier $m$ on $Γ$ c…

math.DG2024

Universal central extension of the Lie algebra of exact divergence-free vector fields

Bas Janssens, Leonid Ryvkin, Cornelia Vizman

We construct the universal central extension of the Lie algebra of exact divergence-free vector fields, proving a conjecture by Claude Roger from 1995. The proof relies on the anal…

math.DG2019

Central extensions of Lie groups preserving a differential form

Tobias Diez, Bas Janssens, Karl-Hermann Neeb +1

Let $M$ be a manifold with a closed, integral $(k + 1)$ -form $ω$ , and let $G$ be a Fréchet-Lie group acting on $(M, ω)$ . As a generalization of the Kostant-Souriau extension for sympl…

math.DG2010

Transformation & Uncertainty. Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles

Bas Janssens

This PHD thesis is concerned with uncertainty relations in quantum probability theory, state estimation in quantum stochastics, and natural bundles in differential geometry. After…