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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 33–41 (Mi ivm8947)  
This article is cited in 1 scientific paper (total in 1 paper)

On functional equations related to a dihedral group

F. N. Garifyanova, A. F. Garifyanovb

a Chair of Mathematical Analysis, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Chair of Higher Mathematics, Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
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Abstract: We propose a method for regularization of two three-element functional equations generated by a special case of dihedral group of rotations. These results are applied to the moment problem for entire functions of exponential type and for evaluation of biorthogonally dual systems of analytic functions.
Keywords: regularization, Carleman boundary-value problem, problem on moments.
Received: 18.06.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 28–35
DOI: https://doi.org/10.3103/S1066369X14110048
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: F. N. Garifyanov, A. F. Garifyanov, “On functional equations related to a dihedral group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 33–41; Russian Math. (Iz. VUZ), 58:11 (2014), 28–35
Citation in format AMSBIB
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\by F.~N.~Garifyanov, A.~F.~Garifyanov
\paper On functional equations related to a~dihedral group
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 33--41
\mathnet{http://mi.mathnet.ru/ivm8947}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 28--35
\crossref{https://doi.org/10.3103/S1066369X14110048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910155000}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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