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On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity.
- Source :
- Mathematical Notes; Feb2008, Vol. 83 Issue 1/2, p31-36, 6p
- Publication Year :
- 2008
-
Abstract
- 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). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 83
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 33373061
- Full Text :
- https://doi.org/10.1134/S0001434608010045