Taylor Formula on step two Carnot Groups
Gabriella Arena
Università degli Studi di Catania, ItalyAndrea O. Caruso
Università degli Studi di Catania, ItalyAntonio Causa
Università degli Studi di Catania, Italy
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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