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Generalized functions obtained by the regularization of nonintegrable functions

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References

  1. I. M. Gelfand and G. E. Shilov, Generalized Functions (Fizmatlit, Moscow, 1959), Vol. 1 [in Russian].

    Google Scholar 

  2. G. E. Shilov, Mathematical Analysis. The Second Special Course (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  3. V. S. Vladimirov, Generalized Functions in Mathematical Physics (Moscow, Mir, 1979; Moscow, Nauka, 1979).

    Google Scholar 

  4. A. N. Kolmogorov and S. V. Fomin, Introductory Real Analysis (Dover, New York, 1975; Nauka, Moscow, 1976).

    Google Scholar 

  5. A. A. Kirillov and A. D. Gvishiani, Theorems and Problems in Functional Analysis (Springer, New York, 1982; Nauka, Moscow, 1979).

    MATH  Google Scholar 

  6. J. P. R. Christensen, Topology and Borel Structure (North-Holland, Amsterdam, 1974).

    MATH  Google Scholar 

  7. L. Hörmander, Ann. Math. 76, 148–170 (1962).

    Article  Google Scholar 

  8. W. Słowikowski, C. R. Acad. Sci. Paris Ser. A–B 262, A870–A872 (1966).

    Google Scholar 

  9. W. Słowikowski, Studia Math. 26, 193–221 (1966).

    MathSciNet  MATH  Google Scholar 

  10. O. G. Smolyanov, Tr. Mosk. Mat. O-va 32, 61–76 (1975).

    MATH  Google Scholar 

  11. O. G. Smolyanov, Note Mat. 12, 207–244 (1992).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mechanics and Mathematics Faculty, Moscow State University, Leninskie gory, Moscow, 119991, Russia

    V. I. Bogachev & O. G. Smolyanov

Authors
  1. V. I. Bogachev
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  2. O. G. Smolyanov
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Correspondence to V. I. Bogachev.

Additional information

Published in Russian in Doklady Akademii Nauk, 2008, Vol. 419, No. 6, pp. 731–734.

The article was translated by the authors.

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Bogachev, V.I., Smolyanov, O.G. Generalized functions obtained by the regularization of nonintegrable functions. Dokl. Math. 77, 302–305 (2008). https://doi.org/10.1134/S1064562408020373

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  • DOI: https://doi.org/10.1134/S1064562408020373

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