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