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 2 n is already dense in C( X ).

Bibliographische Detailangaben

Veröffentlicht in:	Mathematical Notes 2008-02, Vol.83 (1-2), p.31-36
Hauptverfasser:	Carmona, J. J., Fedorovskii, K. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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