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TMF, 1983, Volume 54, Number 1, Pages 99–110 (Mi tmf4367)  

This article is cited in 2 scientific papers (total in 2 papers)

Complex geometry and integral representations in the future tube in $\mathbb C^3$

A. G. Sergeev


Abstract: It is shown that the boundary of the future tube in $\mathbb C^3$ cannot be holomorphically reeitified along complex light rays lying on the boundary. From the general Cauchy–Fantappie representation the Cauchy–Bochner, Jost–Lehmann–Dyson, Leray, and other integral representations for holomorphic functions and solutions of the $\bar{\partial}$-equation in the future tube are derived.

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English version:
Theoretical and Mathematical Physics, 1983, 54:1, 62–70

Bibliographic databases:

Document Type: Article
Received: 29.09.1982

Citation: A. G. Sergeev, “Complex geometry and integral representations in the future tube in $\mathbb C^3$”, TMF, 54:1 (1983), 99–110; Theoret. and Math. Phys., 54:1 (1983), 62–70

Citation in format AMSBIB
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\by A.~G.~Sergeev
\paper Complex geometry and integral representations in the future tube in~$\mathbb C^3$
\jour TMF
\yr 1983
\vol 54
\issue 1
\pages 99--110
\mathnet{http://mi.mathnet.ru/tmf4367}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=704012}
\zmath{https://zbmath.org/?q=an:0529.32001|0582.32005}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 1
\pages 62--70
\crossref{https://doi.org/10.1007/BF01017125}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983RF77900008}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. G. Sergeev, “Estimates of integral representations in a future tube”, Russian Math. Surveys, 40:4 (1985), 215–216  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A. G. Sergeev, “Complex geometry and integral representations in the future tube”, Math. USSR-Izv., 29:3 (1987), 597–628  mathnet  crossref  mathscinet  zmath
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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