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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2013, Issue 2(15), Pages 58–65 (Mi pfmt239)  
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

The Luzin approximation of functions from sobolev classes on the space of a multidimensional $p$-adic argument

E. V. Gubkinaa, K. V. Zabellob, M. A. Prokhorovichb, Ya. M. Radynab

a Gorno-Altaisk State University, Gorno-Altaisk, Russia
b Belarusian State University, Minsk, Belarus
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Abstract: In this paper we will prove an analog of the Luzin theorem on correction for spaces of Sobolev type over $p$-adic vectors. The results were announced in «Doklady of the National Academy of Sciences of Belarus».
Keywords: space of $p$-adic vectors, Sobolev spaces, Luzin approximation.
Received: 30.03.2013
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. V. Gubkina, K. V. Zabello, M. A. Prokhorovich, Ya. M. Radyna, “The Luzin approximation of functions from sobolev classes on the space of a multidimensional $p$-adic argument”, PFMT, 2013, no. 2(15), 58–65
Citation in format AMSBIB
\Bibitem{GubZabPro13}
\by E.~V.~Gubkina, K.~V.~Zabello, M.~A.~Prokhorovich, Ya.~M.~Radyna
\paper The Luzin approximation of functions from sobolev classes on the space of~a~multidimensional $p$-adic argument
\jour PFMT
\yr 2013
\issue 2(15)
\pages 58--65
\mathnet{http://mi.mathnet.ru/pfmt239}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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