In this paper, we construct, for each n ∈ ℕ, a compact set X ⊂ ℂ (depending on n) such that the set of all polyanalytic polynomials of order n is not dense in C(X), but the set of all polyanalytic polynomials of order 2n is already dense in C(X).

Original languageEnglish
Pages (from-to)31-36
Number of pages6
JournalMathematical Notes
Volume83
Issue number1-2
DOIs
StatePublished - Feb 2008
Externally publishedYes

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Polyanalytic function, Polyanalytic polynomial, Schwartz function, Uniform approximation, Vandermonde matrix

ID: 86669819