Skip to main content
SpringerLink
Log in

Generalized fourier transform of slow-growth distributions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. V. S. Vladmirov, Generalized Functions in Mathematical Physics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  2. M. Bremermann, Distributions, Complex Variables, and Fourier Transforms, Addison-Wiley, Reading (1965).

    Google Scholar 

  3. A. M. Kytmanov, “The representation and multiplication of multivariate distributions with the help of harmonic functions,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 36–42 (1978).

    Google Scholar 

  4. A. M. Kytmanov, “One class of multidimensional distributions,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 10, 23–28 (1980).

    Google Scholar 

  5. A. I. Zaslavskii, Distributions, Closed Differential Forms and the Fourier Transform [in Russian], Dep. at VINITI 28.03.83, No. 3469-83, Ural State University (1983).

  6. J. Bros and D. Jagolnitzer, “Causality and local analyticity: mathematical study,” Ann. Inst. H. Poincaré,18, No. 2, 147–184 (1973).

    Google Scholar 

  7. E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton (1971).

    Google Scholar 

  8. Yu. A. Brychkov and A. P. Prudnikov, Integral Transforms of Generalized Functions [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  9. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  10. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions, Nauka, Moscow (1981).

    Google Scholar 

Download references

Authors
  1. A. M. Kytmanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Krasnoyarsk City. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 2, pp. 94–103, March–April, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kytmanov, A.M. Generalized fourier transform of slow-growth distributions. Sib Math J 31, 264–272 (1990). https://doi.org/10.1007/BF00970656

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970656

Search

Navigation