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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 1, Pages 1–16
DOI: https://doi.org/10.1070/SM1974v022n01ABEH002163 (Mi sm2952) 		 
This article is cited in 9 scientific papers (total in 11 papers)

Holomorphic functions with positive imaginary part in the future tube

V. S. Vladimirov
English version PDF (664 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM1974v022n01ABEH002163
Abstract: Integral representations are established for holomorphic functions in the tubular domain $\tau^+=\mathbf R^4+iV^+$ over the future light cone $V^+$ (i.e. the future tube) of the space of four complex variables. First one gives a description and the corresponding integral representation of holomorphic functions with positive imaginary part in the “generalized unit disk” $ww^*<I$, where $w$ are $2\times2$ complex matrices.
Bibliography: 11 titles.
Received: 14.06.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 1, Pages 3–17
Bibliographic databases:
Document Type: Article
UDC: 517.535.4
MSC: Primary 32A07, 32A25; Secondary 30A76
Language: English
Original paper language: Russian
Citation: V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube”, Mat. Sb. (N.S.), 93(135):1 (1974), 3–17; Math. USSR-Sb., 22:1 (1974), 1–16
Citation in format AMSBIB
\Bibitem{Vla74}
\by V.~S.~Vladimirov
\paper Holomorphic functions with positive imaginary part in the future tube
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/sm2952}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=338426}
\zmath{https://zbmath.org/?q=an:0291.32003}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 1
\pages 1--16
\crossref{https://doi.org/10.1070/SM1974v022n01ABEH002163}
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  • https://www.mathnet.ru/eng/sm/v135/i1/p3
    Cycle of papers
    This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:341
    Russian version PDF:99
    English version PDF:12
    References:48
    First page:3
     
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