On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions
Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1469-1492
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New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalytic 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.
@article{SM_2002_193_10_a3,
author = {J. J. Carmona and P. V. Paramonov and K. Yu. Fedorovskiy},
title = {On uniform approximation by polyanalytic polynomials and the {Dirichlet} problem for bianalytic functions},
journal = {Sbornik. Mathematics},
pages = {1469--1492},
publisher = {mathdoc},
volume = {193},
number = {10},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_10_a3/}
}
TY - JOUR AU - J. J. Carmona AU - P. V. Paramonov AU - K. Yu. Fedorovskiy TI - On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions JO - Sbornik. Mathematics PY - 2002 SP - 1469 EP - 1492 VL - 193 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2002_193_10_a3/ LA - en ID - SM_2002_193_10_a3 ER -
%0 Journal Article %A J. J. Carmona %A P. V. Paramonov %A K. Yu. Fedorovskiy %T On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions %J Sbornik. Mathematics %D 2002 %P 1469-1492 %V 193 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2002_193_10_a3/ %G en %F SM_2002_193_10_a3
J. J. Carmona; P. V. Paramonov; K. Yu. Fedorovskiy. On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions. Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1469-1492. http://geodesic.mathdoc.fr/item/SM_2002_193_10_a3/