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On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions. / Carmona, J. J.; Paramonov, P. V.; Fedorovskiǐ, K. Yu.

In: Sbornik Mathematics, Vol. 193, No. 9-10, 2002, p. 1469-1492.

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Carmona, J. J. ; Paramonov, P. V. ; Fedorovskiǐ, K. Yu. / On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions. In: Sbornik Mathematics. 2002 ; Vol. 193, No. 9-10. pp. 1469-1492.

BibTeX

@article{96a6fd9c0d06496b9c1cae65dab769d5,
title = "On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions",
abstract = "New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalylic rational functions on compact subsets of the plane are established. Connections between these approximation problems and the Dirichlet problem for bianalytic functions are also analysed.",
author = "Carmona, {J. J.} and Paramonov, {P. V.} and Fedorovskiǐ, {K. Yu}",
year = "2002",
doi = "10.1070/sm2002v193n10abeh000690",
language = "English",
volume = "193",
pages = "1469--1492",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "9-10",

}

RIS

TY - JOUR

T1 - On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions

AU - Carmona, J. J.

AU - Paramonov, P. V.

AU - Fedorovskiǐ, K. Yu

PY - 2002

Y1 - 2002

N2 - New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalylic rational functions on compact subsets of the plane are established. Connections between these approximation problems and the Dirichlet problem for bianalytic functions are also analysed.

AB - New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalylic rational functions on compact subsets of the plane are established. Connections between these approximation problems and the Dirichlet problem for bianalytic functions are also analysed.

UR - http://www.scopus.com/inward/record.url?scp=0036767982&partnerID=8YFLogxK

U2 - 10.1070/sm2002v193n10abeh000690

DO - 10.1070/sm2002v193n10abeh000690

M3 - Article

AN - SCOPUS:0036767982

VL - 193

SP - 1469

EP - 1492

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 9-10

ER -

ID: 86669949