An Analogue of the Hartogs Lemma for R-Analytic Functions
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https://elib.sfu-kras.ru/handle/2311/145171Author:
Atamuratov, Alimardon A.
Tishabaev, Djurabay K.
Tuychiev, Takhir T.
Атамуратов, Алимардон А.
Тишабаев, Джурабай К.
Туйчиев, Тахир Т.
Date:
2022Journal Name:
Журнал Сибирского федерального университета. Математика и физика, 2022. Journal of Siberian Federal University. Mathematics & Physics, 2022, 15 (2)Abstract:
The paper is devoted to the problem of R-analytic continuation of functions of several real
variables which admit R-analytic continuation along parallel sections. We prove an analogue of the
well-known Hartogs lemma for R-analytic functions Работа посвящена задачам R-аналитического продолжения функций многих действительных переменных, допускающих R-аналитическое продолжение на параллельные сечения.
В ней доказывается аналог известной теоремы Гартогса для R-аналитических функций
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