%0 Journal Article %T n-ary star product: construction and integral representation %A Mahouton Norbert Hounkonnou %A Dine Ousmane Samary %J Physics %D 2014 %I arXiv %X This paper addresses a construction of an n-ary star product. Relevant identities are given. Besides, the formalism is illustrated by a computation of eigenvalues and eigenfunctions for a physical system of coupled oscillators in an n dimensional phase space. %U http://arxiv.org/abs/1403.1306v1