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Matematicheskie Zametki, 1975, Volume 18, Issue 2, Pages 279–290 (Mi mzm7651)  

This article is cited in 1 scientific paper (total in 1 paper)

Factor space of functions with a singularity

V.-B. K. Rogov

Moscow Institute of Railroad Transport Engineers
Full-text PDF (797 kB) Citations (1)
Abstract: Spaces of rapidly decreasing functions on a line, which are infinitely differentiable everywhere except at zero, where there is a fixed singularity for the given space, are considered. It is proved that all such spaces are homeomorphic to each other and homeomorphic to the space of infinitely differentiable functions on a circle.
Received: 13.12.1973
English version:
Mathematical Notes, 1975, Volume 18, Issue 2, Pages 753–7599
DOI: https://doi.org/10.1007/BF01818044
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: V.-B. K. Rogov, “Factor space of functions with a singularity”, Mat. Zametki, 18:2 (1975), 279–290; Math. Notes, 18:2 (1975), 753–7599
Citation in format AMSBIB
\Bibitem{Rog75}
\by V.-B.~K.~Rogov
\paper Factor space of functions with a~singularity
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 2
\pages 279--290
\mathnet{http://mi.mathnet.ru/mzm7651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=394739}
\zmath{https://zbmath.org/?q=an:0316.26018}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 2
\pages 753--7599
\crossref{https://doi.org/10.1007/BF01818044}
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  • https://www.mathnet.ru/eng/mzm/v18/i2/p279
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:151
    Full-text PDF :71
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