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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2013, Issue 2(15), Pages 58–65
(Mi pfmt239)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/pfmt239 https://www.mathnet.ru/eng/pfmt/y2013/i2/p58
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| Abstract page: | 498 | | Full-text PDF : | 93 | | References: | 52 |
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