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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 24–32 (Mi ivm8591)  
This article is cited in 1 scientific paper (total in 1 paper)

A rearrangement formula for a singular Cauchy–Szegö integral in a ball from $\mathbb C^n$

A. S. Katsunovaa, A. M. Kytmanovb

a Chair of Applied Mathematics and Computer Security, Siberian Federal University, Institute of Space and Information Technologies, Krasnoyarsk, Russia
b Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
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Abstract: We obtain an analog of the Poincaré–Bertrand formula for a singular Cauchy–Szegö integral in a multidimensional ball. We understand the principal value of the integral in the Cauchy sense. The obtained formula differs from that of Poincaré–Bertrand for the Cauchy integral in a complex plane.
Keywords: Cauchy–Szegö integral, principal value of integral in Cauchy sense, rearrangement formula for iterated integrals.
Received: 06.04.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 4, Pages 19–26
DOI: https://doi.org/10.3103/S1066369X12040032
Bibliographic databases:
Document Type: Article
UDC: 517.552
Language: Russian
Citation: A. S. Katsunova, A. M. Kytmanov, “A rearrangement formula for a singular Cauchy–Szegö integral in a ball from $\mathbb C^n$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 24–32; Russian Math. (Iz. VUZ), 56:4 (2012), 19–26
Citation in format AMSBIB
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\by A.~S.~Katsunova, A.~M.~Kytmanov
\paper A rearrangement formula for a~singular Cauchy--Szeg\"o integral in a~ball from~$\mathbb C^n$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 4
\pages 24--32
\mathnet{http://mi.mathnet.ru/ivm8591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076538}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 4
\pages 19--26
\crossref{https://doi.org/10.3103/S1066369X12040032}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862733866}
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    • 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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