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Matematicheskie Zametki, 1973, Volume 14, Issue 3, Pages 339–348 (Mi mzm7263)  

On upper and lower values of a generalized function at a point

Yu. P. Chuburin

Voronezh State University
Abstract: In this paper we introduce, for generalized functions of $D'(R_1)$, the concepts of functions of upper and lower values, and we give a complete description of them for generalized functions belonging $L_\infty$.
Received: 30.12.1971
English version:
Mathematical Notes, 1973, Volume 14, Issue 3, Pages 755–760
DOI: https://doi.org/10.1007/BF01147450
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. P. Chuburin, “On upper and lower values of a generalized function at a point”, Mat. Zametki, 14:3 (1973), 339–348; Math. Notes, 14:3 (1973), 755–760
Citation in format AMSBIB
\Bibitem{Chu73}
\by Yu.~P.~Chuburin
\paper On upper and lower values of a~generalized function at a~point
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 3
\pages 339--348
\mathnet{http://mi.mathnet.ru/mzm7263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=331049}
\zmath{https://zbmath.org/?q=an:0289.46026}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 3
\pages 755--760
\crossref{https://doi.org/10.1007/BF01147450}
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  • https://www.mathnet.ru/eng/mzm/v14/i3/p339
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