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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 12, Pages 3–8 (Mi ivm9417)  

This article is cited in 1 scientific paper (total in 1 paper)

On Hamburger moments problem generated by a group with two limit points

F. N. Garif'yanova, N. F. Garif'yanovb, E. V. Strezhnevac

a Kazan Power Engineering University, 51 Krasnosel’skaya str., Kazan, 420066 Russia
b Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
c Kazan National Research University named after A.N. Tupolev, 10 K. Marks str., Kazan, 420111 Russia
Full-text PDF (159 kB) Citations (1)
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Abstract: We study a linear four-element equation in the class of solutions that are holomorphic outside an isosceles trapezium and vanish at infinity. The equation is used here to investigate the Hamburger moments problem for entire functions of exponential type.
Keywords: equivalent regularization, Carleman's problem, moments of entire functions of exponential type.
Received: 27.11.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 12, Pages 1–5
DOI: https://doi.org/10.3103/S1066369X18120010
Bibliographic databases:
Document Type: Article
UDC: 517:544
Language: Russian
Citation: F. N. Garif'yanov, N. F. Garif'yanov, E. V. Strezhneva, “On Hamburger moments problem generated by a group with two limit points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 12, 3–8; Russian Math. (Iz. VUZ), 62:12 (2018), 1–5
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ivm/y2018/i12/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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