The Lie Bracket and the Arithmetic Derivative
Jun Fan and Sergey Utev
Department of Mathematics
University of Leicester
Leicester LE1 7RH
United Kingdom
Abstract:
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.
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Received July 26 2019; revised version received February 19 2020.
Published in Journal of Integer Sequences,
February 19 2020.
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