Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

被引：6

作者：

Fedorovskiy, Konstantin Yu. ^{[1
]}

机构：

[1] Moscow State Tech Univ, Moscow, Russia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2011年 / 5卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Polyanalytic functions and polynomials; C-m-approximation; UNIFORM APPROXIMATION; HARMONIC POLYNOMIALS; ELLIPTIC-EQUATIONS; SETS;

D O I：

10.1007/s11785-010-0099-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several necessary and sufficient conditions on C-m-approximability of functions on compact subsets of the complex plane by polyanalytic polynomials are obtained. The resulting conditions for approximation are of the topological nature.

引用

页码：671 / 681

页数：11

共 50 条

[1] Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane
Konstantin Yu. Fedorovskiy
Complex Analysis and Operator Theory, 2011, 5 : 671 - 681
[2] Uniform and Cm-Approximation by Polyanalytic Polynomials
Fedorovskiy, Konstantin Yu
COMPLEX ANALYSIS AND POTENTIAL THEORY, 2012, 55 : 323 - 329
[3] Approximation by rational functions on compact nowhere dense subsets of the complex plane
J. E. Brennan
C. N. Mattingly
Analysis and Mathematical Physics, 2013, 3 : 201 - 234
[4] Approximation by rational functions on compact nowhere dense subsets of the complex plane
Brennan, J. E.
Mattingly, C. N.
ANALYSIS AND MATHEMATICAL PHYSICS, 2013, 3 (03) : 201 - 234
[5] Approximation by Convolution Polyanalytic Operators in the Complex and Quaternionic Compact Unit Balls
Gal, Sorin G.
Sabadini, Irene
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2023, 23 (01) : 101 - 123
[6] Approximation by Convolution Polyanalytic Operators in the Complex and Quaternionic Compact Unit Balls
Sorin G. Gal
Irene Sabadini
Computational Methods and Function Theory, 2023, 23 : 101 - 123
[7] New conditions for uniform approximation by polyanalytic polynomials
J. J. Carmona
K. Yu. Fedorovskiy
Proceedings of the Steklov Institute of Mathematics, 2012, 279 : 215 - 229
[8] New conditions for uniform approximation by polyanalytic polynomials
Carmona, J. J.
Fedorovskiy, K. Yu.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 279 (01) : 215 - 229
[9] Density of Complex and Quaternionic Polyanalytic Polynomials in Polyanalytic Fock Spaces
Gal, Sorin G.
Sabadini, Irene
COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (01)
[10] Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces
Gal, Sorin G.
Sabadini, Irene
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 29 (04) : 533 - 553

← 1 2 3 4 5 →