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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 3, Pages 42–50 (Mi ivm8444)  
This article is cited in 2 scientific papers (total in 2 papers)

Some properties of analytic in a disc functions and their applications to study of behaviour of singular integrals

R. B. Salimov

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
Full-text PDF (175 kB) Citations (2)
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Abstract: We obtain representations for an analytic in a disc function such that its real part has a zero of an integer order at a fixed boundary point. We consider certain applications of these representations for studying properties of singular integrals with the Hilbert kernel.
Keywords: analytic function, Schwartz formula, singular integral, Hilbert kernel.
Received: 02.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 3, Pages 36–44
DOI: https://doi.org/10.3103/S1066369X12030061
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: R. B. Salimov, “Some properties of analytic in a disc functions and their applications to study of behaviour of singular integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3, 42–50; Russian Math. (Iz. VUZ), 56:3 (2012), 36–44
Citation in format AMSBIB
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\by R.~B.~Salimov
\paper Some properties of analytic in a~disc functions and their applications to study of behaviour of singular integrals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 3
\pages 42--50
\mathnet{http://mi.mathnet.ru/ivm8444}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076517}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 3
\pages 36--44
\crossref{https://doi.org/10.3103/S1066369X12030061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862687271}
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    • This publication is cited in the following 2 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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    References:79
    First page:12
     
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