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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 235, Pages 262–271 (Mi tm247)  
This article is cited in 8 scientific papers (total in 8 papers)

Approximation and Boundary Properties of Polyanalytic Functions

K. Yu. Fedorovskiy

Institute of Information Systems in Management at the State University of Management
Full-text PDF (198 kB) Citations (8)
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Abstract: We give a review of some recent results concerning the uniform approximation of functions by polyanalytic functions and polyanalytic polynomials on planar compact sets. We discuss the boundary properties of polyanalytic functions and their relationships with uniform approximation problems. Some problems of approximation by the solutions of homogeneous second-order elliptic equations with constant complex coefficients are also considered.
Received in May 2001
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: K. Yu. Fedorovskiy, “Approximation and Boundary Properties of Polyanalytic Functions”, Analytic and geometric issues of complex analysis, Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin, Trudy Mat. Inst. Steklova, 235, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 262–271; Proc. Steklov Inst. Math., 235 (2001), 251–260
Citation in format AMSBIB
\Bibitem{Fed01}
\by K.~Yu.~Fedorovskiy
\paper Approximation and Boundary Properties of Polyanalytic Functions
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers. Dedicated to the 70th anniversary of academician Anatolii Georgievich Vitushkin
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 235
\pages 262--271
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886586}
\zmath{https://zbmath.org/?q=an:1001.30030}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 235
\pages 251--260
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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