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Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane. / Fedorovskiy, Konstantin Yu.

в: Complex Analysis and Operator Theory, Том 5, № 3, 09.2011, стр. 671-681.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Fedorovskiy, Konstantin Yu. / Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane. в: Complex Analysis and Operator Theory. 2011 ; Том 5, № 3. стр. 671-681.

BibTeX

@article{8f638016c311445b9b1ae4a7d761cef6,
title = "Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane",
abstract = "Several necessary and sufficient conditions on Cm-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.",
keywords = "C-approximation, Polyanalytic functions and polynomials",
author = "Fedorovskiy, {Konstantin Yu}",
note = "Funding Information: The author is partially supported by the Russian Foundation for Basic Research (grants nos. 10-01-00837 and 09-01-12160-ofi_m) and by the program “Leading Scientific Schools” (grant no. NSh-3476.2010.1).",
year = "2011",
month = sep,
doi = "10.1007/s11785-010-0099-9",
language = "English",
volume = "5",
pages = "671--681",
journal = "Complex Analysis and Operator Theory",
issn = "1661-8254",
publisher = "Birkh{\"a}user Verlag AG",
number = "3",

}

RIS

TY - JOUR

T1 - Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

AU - Fedorovskiy, Konstantin Yu

N1 - Funding Information: The author is partially supported by the Russian Foundation for Basic Research (grants nos. 10-01-00837 and 09-01-12160-ofi_m) and by the program “Leading Scientific Schools” (grant no. NSh-3476.2010.1).

PY - 2011/9

Y1 - 2011/9

N2 - Several necessary and sufficient conditions on Cm-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.

AB - Several necessary and sufficient conditions on Cm-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.

KW - C-approximation

KW - Polyanalytic functions and polynomials

UR - http://www.scopus.com/inward/record.url?scp=80052438935&partnerID=8YFLogxK

U2 - 10.1007/s11785-010-0099-9

DO - 10.1007/s11785-010-0099-9

M3 - Article

AN - SCOPUS:80052438935

VL - 5

SP - 671

EP - 681

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

SN - 1661-8254

IS - 3

ER -

ID: 86669687