La structure combinatoire du calcul intégral.

Abstract : Gian-Carlo Rota suggested in one of his last articles the problem of developing a theory around the notion of integration algebras, complementary to the already existing theory of differential algebras. This idea was mainly motivated by Rota's deep appreciation for Kuo-Tsai Chen's seminal work on iterated integrals. As a starting point for such a theory of integration algebras Rota proposed to consider a particular operator identity first introduced by the mathematician Glen Baxter. Later it was coined Rota-Baxter identity. In this article we briefly recall basic properties of Rota--Baxter algebras, and present a concise review of recent work with a particular emphasis of noncommutative aspects.
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Contributor : Patras Frédéric <>
Submitted on : Thursday, September 26, 2013 - 5:53:36 PM
Last modification on : Friday, January 12, 2018 - 1:51:37 AM

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  • HAL Id : hal-00866616, version 1
  • ARXIV : 1304.1204



Kurusch Ebrahimi-Fard, Frederic Patras. La structure combinatoire du calcul intégral.. Gazette des Mathématiciens, Société Mathématique de France, 2013, 138, pp.5-22. 〈〉. 〈hal-00866616〉



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