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This article is cited in 42 scientific papers (total in 42 papers)
On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions
J. J. Carmonaa, P. V. Paramonovb, K. Yu. Fedorovskiyc a Universitat Autònoma de Barcelona
b M. V. Lomonosov Moscow State University
c Institute of Information Systems in Management at the State University of Management
Abstract:
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.
Received: 26.02.2002
Citation:
J. J. Carmona, P. V. Paramonov, K. Yu. Fedorovskiy, “On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions”, Mat. Sb., 193:10 (2002), 75–98; Sb. Math., 193:10 (2002), 1469–1492
Linking options:
https://www.mathnet.ru/eng/sm690https://doi.org/10.1070/SM2002v193n10ABEH000690 https://www.mathnet.ru/eng/sm/v193/i10/p75
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Abstract page: | 539 | Russian version PDF: | 281 | English version PDF: | 15 | References: | 41 | First page: | 1 |
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