Quelques endomorphismes continus des suites P-récursives

Abstract

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 ϕ d and tressage ψ d , J , σ , where d ∈ N * , J ∈ N d 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).