Abstract:
In the paper we give a survey of results concerning the problems of representing functions by series in various systems, and of the uniqueness of such a representation. The account covers older results as well as those of recent years due to several authors. Much attention is also paid to questions of the validity of the Weierstrass theorem and of representing functions in the classes φ(L).
\Bibitem{Uly72}
\by P.~L.~Ul'yanov
\paper Representation of functions by series and classes~$\varphi(L)$
\jour Russian Math. Surveys
\yr 1972
\vol 27
\issue 2
\pages 1--54
\mathnet{http://mi.mathnet.ru/eng/rm5028}
\crossref{https://doi.org/10.1070/RM1972v027n02ABEH001370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399749}
\zmath{https://zbmath.org/?q=an:0274.46027}
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https://www.mathnet.ru/eng/rm5028
https://doi.org/10.1070/RM1972v027n02ABEH001370
https://www.mathnet.ru/eng/rm/v27/i2/p3
This publication is cited in the following 47 articles:
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