22 citations · 22 across the 3 of their papers we have counts for
3 papers
math.FA2018
The Weyl calculus for group generators satisfying the canonical commutation relations
Jan van Neerven, Pierre Portal
Classical pseudo-differential calculus on can be viewed as a (non-commutative) functional calculus for the standard position and momentum operators $(Q_{1}, \dots…
math.FA2017
Weyl calculus with respect to the Gaussian measure and restricted - boundedness of the Ornstein-Uhlenbeck semigroup in complex time
Jan van Neerven, Pierre Portal
In this paper, we introduce a Weyl functional calculus for the position and momentum operators and associated with the Ornstein-Uhlenbeck operator $ L =…
math.NA2016★ 22 cited
Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions
Sonja Cox, Martin Hutzenthaler, Arnulf Jentzen +2
We show that if a sequence of piecewise affine linear processes converges in the strong sense with a positive rate to a stochastic process which is strongly Hölder continuous in ti…