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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 3, Pages 529–535
DOI: https://doi.org/10.1070/IM1972v006n03ABEH001888
(Mi im2311)
 

This article is cited in 9 scientific papers (total in 11 papers)

On Cauchy–Bochner representations

V. S. Vladimirov
References:
Abstract: In this paper the classical Cauchy–Bochner integral representation is generalized to a more extensive class of functions holomorphic in tubular domains TC over a cone C.
Received: 29.10.1971
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 32A25; Secondary 32A07, 32A30
Language: English
Original paper language: Russian
Citation: V. S. Vladimirov, “On Cauchy–Bochner representations”, Math. USSR-Izv., 6:3 (1972), 529–535
Citation in format AMSBIB
\Bibitem{Vla72}
\by V.~S.~Vladimirov
\paper On Cauchy--Bochner representations
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 3
\pages 529--535
\mathnet{http://mi.mathnet.ru//eng/im2311}
\crossref{https://doi.org/10.1070/IM1972v006n03ABEH001888}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=310275}
\zmath{https://zbmath.org/?q=an:0256.32004}
Linking options:
  • https://www.mathnet.ru/eng/im2311
  • https://doi.org/10.1070/IM1972v006n03ABEH001888
  • https://www.mathnet.ru/eng/im/v36/i3/p534
  • This publication is cited in the following 11 articles:
    1. Richard D. Carmichael, “Cauchy Integral and Boundary Value for Vector-Valued Tempered Distributions”, Axioms, 11:8 (2022), 392  crossref
    2. Richard D. Carmichael, “Generalized Vector-Valued Hardy Functions”, Axioms, 11:2 (2022), 39  crossref
    3. M. K. Kerimov, “Vasiliĭ Sergeevich Vladimirov (on the occasion of his eightieth birthday)”, Comput. Math. Math. Phys., 43:11 (2003), 1541–1549  mathnet  mathscinet
    4. R.D. Carmichael, S. Pilipović, “Cauchy and Poisson kernels for tubes”, Integral Transforms and Special Functions, 6:1-4 (1998), 9  crossref
    5. R.S. Pathak, “Generalized HPspaces on tubes”, Complex Variables, Theory and Application: An International Journal, 19:3 (1992), 121  crossref
    6. Richard D. Carmichael, Generalized Functions, Convergence Structures, and Their Applications, 1988, 131  crossref
    7. A. G. Sergeev, “Complex geometry and integral representations in the future tube”, Math. USSR-Izv., 29:3 (1987), 597–628  mathnet  crossref  mathscinet  zmath
    8. Richard D. Carmichael, “Generalization of Hp functions in tubes. II”, Complex Variables, Theory and Application: An International Journal, 2:3-4 (1984), 243  crossref
    9. N. N. Bogolyubov, A. A. Logunov, G. I. Marchuk, “Vasilii Sergeevich Vladimirov (on his sixtieth birthday)”, Russian Math. Surveys, 38:1 (1983), 231–243  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. A. G. Sergeev, “Complex geometry and integral representations in the future tube in $\mathbb C^3$”, Theoret. and Math. Phys., 54:1 (1983), 62–70  mathnet  crossref  mathscinet  zmath  isi
    11. Richard D. Carmichael, “Generalization of Hp functions in tubes. I”, Complex Variables, Theory and Application: An International Journal, 2:1 (1983), 79  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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