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Mathematics of the USSR-Izvestiya, 1988, Volume 30, Issue 1, Pages 145–161
DOI: https://doi.org/10.1070/IM1988v030n01ABEH000999 (Mi im1267) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Newton–Leibniz formula on Banach spaces and approximation of functions of an infinite-dimensional argument

A. V. Uglanov
English version PDF (929 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/IM1988v030n01ABEH000999
Abstract: Properties of integrals over infinite-dimensional nonlinear manifolds are analyzed. A certain double averaging operation is introduced for functions on abstract separable Banach spaces; this operation leads to uniform approximation by smooth (in the Fréchet sense) functions in the case of spaces (and certain other cases).
Bibliography: 10 titles.
Received: 22.10.1984
Bibliographic databases:
UDC: 517.98
MSC: Primary 28C20, 41A65, 46B20, 58B99; Secondary 28A15, 28B05, 58D20
Language: English
Original paper language: Russian
Citation: A. V. Uglanov, “The Newton–Leibniz formula on Banach spaces and approximation of functions of an infinite-dimensional argument”, Math. USSR-Izv., 30:1 (1988), 145–161
Citation in format AMSBIB
\Bibitem{Ugl87}
\by A.~V.~Uglanov
\paper The Newton--Leibniz formula on Banach spaces and approximation of functions of an infinite-dimensional argument
\jour Math. USSR-Izv.
\yr 1988
\vol 30
\issue 1
\pages 145--161
\mathnet{http://mi.mathnet.ru/eng/im1267}
\crossref{https://doi.org/10.1070/IM1988v030n01ABEH000999}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=887605}
\zmath{https://zbmath.org/?q=an:0637.46041}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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