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On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity. / Carmona, J. J.; Fedorovskii, K. Yu.

In: Mathematical Notes, Vol. 83, No. 1-2, 02.2008, p. 31-36.

Research output: Contribution to journal › Article › peer-review

Harvard

Carmona, JJ & Fedorovskii, KY 2008, 'On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity', Mathematical Notes, vol. 83, no. 1-2, pp. 31-36. https://doi.org/10.1134/S0001434608010045

APA

Carmona, J. J., & Fedorovskii, K. Y. (2008). On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity. Mathematical Notes, 83(1-2), 31-36. https://doi.org/10.1134/S0001434608010045

Vancouver

Carmona JJ, Fedorovskii KY. On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity. Mathematical Notes. 2008 Feb;83(1-2):31-36. https://doi.org/10.1134/S0001434608010045

Author

Carmona, J. J. ; Fedorovskii, K. Yu. / On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity. In: Mathematical Notes. 2008 ; Vol. 83, No. 1-2. pp. 31-36.

BibTeX

@article{21a17d46fe3747b1b4d7e3a0267c4738,
title = "On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity",
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 2n is already dense in C(X).",
keywords = "Polyanalytic function, Polyanalytic polynomial, Schwartz function, Uniform approximation, Vandermonde matrix",
author = "Carmona, {J. J.} and Fedorovskii, {K. Yu}",
note = "Funding Information: The second author is partially supported by the Russian Foundation for Basic Research (grant no. 07-01-00503), by the program “Leading Scientific Schools” (grant no. NSh-9429.2006.01), and by INTAS (grant no. YSF 2001/2-16 Renewal). Funding Information: The first author is partially supported by Ministerio de Ciencia y Tecnologia (grant no. MTM 2005-08984-C02-01) and by Generalitat de Catalunya (grant no. 2005 SGR 00611).",
year = "2008",
month = feb,
doi = "10.1134/S0001434608010045",
language = "English",
volume = "83",
pages = "31--36",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "1-2",

}

RIS

TY - JOUR

T1 - On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity

AU - Carmona, J. J.

AU - Fedorovskii, K. Yu

N1 - Funding Information: The second author is partially supported by the Russian Foundation for Basic Research (grant no. 07-01-00503), by the program “Leading Scientific Schools” (grant no. NSh-9429.2006.01), and by INTAS (grant no. YSF 2001/2-16 Renewal). Funding Information: The first author is partially supported by Ministerio de Ciencia y Tecnologia (grant no. MTM 2005-08984-C02-01) and by Generalitat de Catalunya (grant no. 2005 SGR 00611).

PY - 2008/2

Y1 - 2008/2

N2 - 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).

AB - 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).

KW - Polyanalytic function

KW - Polyanalytic polynomial

KW - Schwartz function

KW - Uniform approximation

KW - Vandermonde matrix

UR - http://www.scopus.com/inward/record.url?scp=48849084173&partnerID=8YFLogxK

U2 - 10.1134/S0001434608010045

DO - 10.1134/S0001434608010045

M3 - Article

AN - SCOPUS:48849084173

VL - 83

SP - 31

EP - 36

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -

ID: 86669819