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

被引：31

作者：

Carmona, JJ ^{[1
]}

Paramonov, PV

Fedorovskii, KY

机构：

[1] Univ Autonoma Barcelona, E-08193 Barcelona, Spain

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

[3] State Univ Management, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2002年 / 193卷 / 9-10期

关键词：

D O I：

10.1070/SM2002v193n10ABEH000690

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1469 / 1492

页数：24

共 23 条

[1]

Balk MB., 1991, Polyanalytic Functions

[2] BOUNDARY MEASURES OF ANALYTIC DIFFERENTIALS [J].