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 Mat. Zametki, 1968, Volume 4, Issue 5, Pages 579–588 (Mi mz6777)

The representation of integral functions by series of the form $\sum_{n=1}^\infty \alpha_n f(\lambda_n z)$

V. I. Shevtsov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: The necessary and sufficient conditions that an integral function, whose order satisfies certain conditions, should be represented by a series of integral functions of the form $f(\lambda_nz)$ are indicated.

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English version:
Mathematical Notes, 1968, 4:5, 838–843

Bibliographic databases:

UDC: 517.5

Citation: V. I. Shevtsov, “The representation of integral functions by series of the form $\sum_{n=1}^\infty \alpha_n f(\lambda_n z)$”, Mat. Zametki, 4:5 (1968), 579–588; Math. Notes, 4:5 (1968), 838–843

Citation in format AMSBIB
\Bibitem{She68} \by V.~I.~Shevtsov \paper The representation of integral functions by series of the form $\sum_{n=1}^\infty\,\alpha_n f(\lambda_n z)$ \jour Mat. Zametki \yr 1968 \vol 4 \issue 5 \pages 579--588 \mathnet{http://mi.mathnet.ru/mz6777} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=241637} \zmath{https://zbmath.org/?q=an:0186.12701|0183.34102} \transl \jour Math. Notes \yr 1968 \vol 4 \issue 5 \pages 838--843 \crossref{https://doi.org/10.1007/BF01111320} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. F. Leont'ev, “Representation of functions by generalized Dirichlet series”, Russian Math. Surveys, 24:2 (1969), 101–178
2. V. I. Shevtsov, “On the reconstruction of a function from the known coefficients of the corresponding Dirichlet series”, Math. USSR-Sb., 11:4 (1970), 529–538
3. A. F. Leont'ev, “On conditions of expandibility of analytic functions in Dirichlet series”, Math. USSR-Izv., 6:6 (1972), 1265–1277
4. A. F. Leont'ev, Yu. N. Frolov, “On conditions for representability of entire functions by certain general series”, Math. USSR-Izv., 13:1 (1979), 63–72
5. Chunaev P. Danchenko V., “Approximation by amplitude and frequency operators”, J. Approx. Theory, 207 (2016), 1–31
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