| Popis: |
Let be K a commutative field of zero characteristic, r(K) and j(K) the Hadamard algebra of linear recurrence sequences with constant coefficients respectively polynomial coefficients. In a preceding article, we have defined the map decimation ϕd and tressage ψd,J,σ, where d∈N*, J∈Nd and σ is a permutation of {0,1,…,d−1}. We have shown that these maps are continuous endomorphisms of the algebra r(K). In this Note, we show that these maps are also continuous endomorphisms of the algebra j(K). To cite this article: A. Ait Mokhtar, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
