Mathematical Notes

, Volume 83, Issue 1–2, pp 31–36 | Cite as

On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity



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).

Key words

polyanalytic function polyanalytic polynomial uniform approximation Schwartz function Vandermonde matrix 


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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Universitat Autonoma de BarcelonaBarcelonaSpain
  2. 2.State University of ManagementMoscowRussia

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