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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 10, Pages 3–7 (Mi ivm9158)  
This article is cited in 6 scientific papers (total in 6 papers)

Summary equation for functions analytical outside a quadrangle

F. N. Garif'yanov

Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
Full-text PDF (157 kB) Citations (6)
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Abstract: We investigate a four-element functional equation in a class of functions holomorphic outside a quadrangle and vanishing at infinity. We construct a system of entire functions of complete regular growth, which is biorthogonal to a power system on three rays with piecewise-exponential weight.
Keywords: equivalent regularization, Carleman problem, moment problem for entire functions of exponential type.
Received: 01.02.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 10, Pages 1–4
DOI: https://doi.org/10.3103/S1066369X16100017
Bibliographic databases:
Document Type: Article
UDC: 517.547
Language: Russian
Citation: F. N. Garif'yanov, “Summary equation for functions analytical outside a quadrangle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 3–7; Russian Math. (Iz. VUZ), 60:10 (2016), 1–4
Citation in format AMSBIB
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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 высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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