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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 227–241 (Mi tm3430)  
This article is cited in 9 scientific papers (total in 9 papers)

New conditions for uniform approximation by polyanalytic polynomials

J. J. Carmonaa, K. Yu. Fedorovskiyb

a Departament de Matemàtiques, Edifici C, Universitat Autònoma de Barcelona, Bellaterra (Barcelona), Spain
b Department of Applied Mathematics, Bauman Moscow State Technical University, Moscow, Russia
Full-text PDF (246 kB) Citations (9)
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Abstract: We are interested in the problem of uniform approximability of functions by polyanalytic polynomials on compact subsets of the plane. We present new results showing the nature of the approximability conditions arising in this problem and their dependence on the order of polyanalyticity.
Received in January 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 215–229
DOI: https://doi.org/10.1134/S0081543812080159
Bibliographic databases:
Document Type: Article
UDC: 517.518.82
Language: English
Citation: J. J. Carmona, K. Yu. Fedorovskiy, “New conditions for uniform approximation by polyanalytic polynomials”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 227–241; Proc. Steklov Inst. Math., 279 (2012), 215–229
Citation in format AMSBIB
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\paper New conditions for uniform approximation by polyanalytic polynomials
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 227--241
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3430}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 215--229
\crossref{https://doi.org/10.1134/S0081543812080159}
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Linking options:
  • https://www.mathnet.ru/eng/tm3430
  • https://www.mathnet.ru/eng/tm/v279/p227
    • This publication is cited in the following 9 articles:
    1. Sorin G. Gal, Irene Sabadini, “Density of Complex and Quaternionic Polyanalytic Polynomials in Polyanalytic Fock Spaces”, Complex Anal. Oper. Theory, 18:1 (2024)  crossref
    2. Dmitry Khavinson, Erik Lundberg, Sean Perry, Contemporary Mathematics, 799, Recent Progress in Function Theory and Operator Theory, 2024, 23  crossref
    3. K. Fedorovskiy, “Uniform Approximation by Polynomial Solutions of Elliptic Systems on Boundaries of Carathéodory Domains in \boldsymbol{\mathbb{R}}^{\mathbf{2}}”, Lobachevskii J Math, 44:4 (2023), 1299  crossref
    4. Gal S.G., Sabadini I., “Approximation By Convolution Polyanalytic Operators in the Complex and Quaternionic Compact Unit Balls”, Comput. Methods Funct. Theory, 2022  crossref  isi
    5. Abakumov E., Fedorovskiy K., “Analytic Balayage of Measures, Caratheodory Domains, and Badly Approximable Functions in l-P”, C. R. Math., 356:8 (2018), 870–874  crossref  mathscinet  zmath  isi  scopus
    6. K. Yu. Fedorovskiy, “Carathéodory sets and analytic balayage of measures”, Sb. Math., 209:9 (2018), 1376–1389  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. V. I. Danchenko, “Cauchy and Poisson formulas for polyanalytic functions and applications”, Russian Math. (Iz. VUZ), 60:1 (2016), 11–21  mathnet  crossref  isi
    8. K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Conditions for C^m-approximability of functions by solutions of elliptic equations”, Russian Math. Surveys, 67:6 (2012), 1023–1068  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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