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math.OA2021
On the twisted factorization of the -transform
Kurusch Ebrahimi-Fard, Nicolas Gilliers
The amalgamated -transform of a non-commutative distribution was introduced by K.~Dykema. It provides a fundamental tool for computing distributions of random variables in Voicu…
math.OA2021
On the Signature of a Path in an Operator Algebra
Carlo Bellingeri, Nicolas Gilliers
We introduce a class of operators associated with the signature of a smooth path with values in a algebra . These operators serve as the basis of Taylo…