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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 27–33 (Mi ivm9316)  
This article is cited in 5 scientific papers (total in 5 papers)

On summary equation generated by a quadrangle

F. N. Garif'yanov

Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
Full-text PDF (173 kB) Citations (5)
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Abstract: We investigate a four-element functional equation in a class of solutions holomorphic outside a quadrangle and vanishing at infinity. We propose equivalent regularization method of such quadrangles. We construct examples with only single condition of solvability for such equation. We show applications to moments problem for entire functions of exponential type.
Keywords: equivalent regularization, Carleman boundary-value problem, moments of entire functions.
Received: 16.10.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 1, Pages 23–28
DOI: https://doi.org/10.3103/S1066369X18010048
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: F. N. Garif'yanov, “On summary equation generated by a quadrangle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 27–33; Russian Math. (Iz. VUZ), 62:1 (2018), 23–28
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ivm/y2018/i1/p27
    • This publication is cited in the following 5 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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    Full-text PDF :28
    References:23
    First page:9
     
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