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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 4, Pages 73–78 (Mi ivm9106)  
This article is cited in 1 scientific paper (total in 1 paper)

New asymptotic representation of a singular integral with the Hilbert kernel near a point of weak continuity of its density

R. B. Salimov

Kazan State Architecture and Civil Engineering University, 1 Zelyonaya str., Kazan, 420043, Russia
Full-text PDF (157 kB) Citations (1)
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Abstract: We study the behavior of a singular integral with the Hilbert kernel near a fixed point, where the density vanishes as the value inverse to the logarithm of the module of the logarithm of the distance from this point to a variable one, and the integral is not necessarily convergent.
Keywords: singular integral, Hilbert kernel, Hölder condition, weak continuity.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00636-a
Received: 01.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 4, Pages 60–64
DOI: https://doi.org/10.3103/S1066369X16040095
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: R. B. Salimov, “New asymptotic representation of a singular integral with the Hilbert kernel near a point of weak continuity of its density”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4, 73–78; Russian Math. (Iz. VUZ), 60:4 (2016), 60–64
Citation in format AMSBIB
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\paper New asymptotic representation of a~singular integral with the Hilbert kernel near a~point of weak continuity of its density
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\issue 4
\pages 73--78
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\issue 4
\pages 60--64
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  • https://www.mathnet.ru/eng/ivm/y2016/i4/p73
    • This publication is cited in the following 1 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 :53
    References:103
    First page:39
     
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