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 Mat. Zametki, 1972, Volume 12, Issue 2, Pages 187–195 (Mi mz9867)

General form of linear operators which commute with the operation of differentiation

A. V. Bratishchev, Yu. F. Korobeinik

Rostov-on-Don State University

Abstract: In this paper we indicate the general form of linear operators which commute with the operation of differentiation and which act in a space of functions which are analytic in a bounded simply connected domain and are continuous in a very weak sense; the properties of such operators are studied.

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English version:
Mathematical Notes, 1972, 12:2, 547–551

Bibliographic databases:

UDC: 513.88

Citation: A. V. Bratishchev, Yu. F. Korobeinik, “General form of linear operators which commute with the operation of differentiation”, Mat. Zametki, 12:2 (1972), 187–195; Math. Notes, 12:2 (1972), 547–551

Citation in format AMSBIB
\Bibitem{BraKor72} \by A.~V.~Bratishchev, Yu.~F.~Korobeinik \paper General form of linear operators which commute with the operation of differentiation \jour Mat. Zametki \yr 1972 \vol 12 \issue 2 \pages 187--195 \mathnet{http://mi.mathnet.ru/mz9867} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=317021} \zmath{https://zbmath.org/?q=an:0241.47028} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 2 \pages 547--551 \crossref{https://doi.org/10.1007/BF01095016} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. V. A. Tkachenko, “On operators commuting with generalized differentiation in spaces of analytic functionals with given indicator of growth”, Math. USSR-Sb., 31:3 (1977), 389–407
2. Yu. F. Korobeinik, “O lineinykh sistemakh uravnenii v operatorakh obobschennoi svertki”, Vladikavk. matem. zhurn., 6:2 (2004), 39–49
3. O. A. Ivanova, S. N. Melikhov, Yu. N. Melikhov, “On commutant of differentiation and translation operators in weighted spaces of entire functions”, Ufa Math. J., 9:3 (2017), 37–47
4. A. V. Bratischev, “Ob operatorakh obobschennogo differentsirovaniya Gelfonda—Leonteva”, Kompleksnyi analiz, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 153, VINITI RAN, M., 2018, 29–54
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