Abstract
We prove that the cofinite dual of the Hopf algebra of polynomials in several variables can be represented as a Hopf algebra ℰ of exponential polynomials that contains the polynomials as a Hopf subalgebra. We also present some algebras isomorphic to ℰ whose elements are rational functions or multi-sequences.
Notes
Communicated by V. A. Artamonov.