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n-ary Star Product: Construction and Integral Representation

  • Mahouton Norbert HounkonnouEmail author
  • Dine Ousmane Samary
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

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.

Keywords

n-ary star product integral representation Schwartz space 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Mahouton Norbert Hounkonnou
    • 1
    Email author
  • Dine Ousmane Samary
    • 1
  1. 1.International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair)University of Abomey-CalaviCotonouBenin

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