The Lie Bracket and the Arithmetic Derivative
Jun Fan and Sergey Utev
Department of Mathematics
University of Leicester
Leicester LE1 7RH
We apply the Lie bracket approach to characterize the semi-derivations
on the positive integers. The approach is motivated by the Stroock-Lie
bracket identity commonly used in Malliavin calculus.
Full version: pdf,
Received July 26 2019; revised version received February 19 2020.
Published in Journal of Integer Sequences,
February 19 2020.
Journal of Integer Sequences home page