JournalsrmiVol. 26, No. 1pp. 239–259

Taylor Formula on step two Carnot Groups

  • Gabriella Arena

    Università degli Studi di Catania, Italy
  • Andrea O. Caruso

    Università degli Studi di Catania, Italy
  • Antonio Causa

    Università degli Studi di Catania, Italy
Taylor Formula on step two Carnot Groups cover
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Abstract

In the setting of step two Carnot groups we give an explicit representation of Taylor polynomial in terms of a suitable basis of the real vector space of left invariant differential operators, acting pointwisely on monomials like the ordinary Euclidean iterated derivations.

Cite this article

Gabriella Arena, Andrea O. Caruso, Antonio Causa, Taylor Formula on step two Carnot Groups. Rev. Mat. Iberoam. 26 (2010), no. 1, pp. 239–259

DOI 10.4171/RMI/600