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Izvestiya: Mathematics, 1995, Volume 59, Issue 5, Pages 1077–1082
DOI: https://doi.org/10.1070/IM1995v059n05ABEH000048 (Mi im48) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A continuously differentiable discontinuous function on the space $D$

M. O. Smolyanova
English version PDF (257 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1995v059n05ABEH000048
Abstract: By explicit formula we define a real valued everywhere discontinuous function on the Schwartz space $D$ (of infinitely differentiable functions with compact support) that has continuous Frechet derivatives of all orders (which are defined everywhere).
Received: 28.10.1994
Bibliographic databases:
MSC: 58C20
Language: English
Original paper language: Russian
Citation: M. O. Smolyanova, “A continuously differentiable discontinuous function on the space $D$”, Izv. Math., 59:5 (1995), 1077–1082
Citation in format AMSBIB
\Bibitem{Smo95}
\by M.~O.~Smolyanova
\paper A~continuously differentiable discontinuous function on the space~$D$
\jour Izv. Math.
\yr 1995
\vol 59
\issue 5
\pages 1077--1082
\mathnet{http://mi.mathnet.ru//eng/im48}
\crossref{https://doi.org/10.1070/IM1995v059n05ABEH000048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1360641}
\zmath{https://zbmath.org/?q=an:0876.58005}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UH54100011}
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  • https://www.mathnet.ru/eng/im/v59/i5/p197
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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