Skip to main content
Log in

On the Inversion Formula of the Fourier Transform of the Characteristic Function of Several Variables

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

An approach to the inversion formula for the Fourier transform is proposed in some special case of characteristic functions. Bibliography: 6 titles.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Zygmund, Trigonometric Series, Vol. 2, Cambridge, Cambridge Univ. Press (2002).

    Google Scholar 

  2. Sh. A. Alimov, V. A. Il'in, and E. M. Nikishin, “Questions about the convergence of multiple trigonometric series and spectral expansions” [in Russian], Uspekh. Mat. Nauk, 31 (1976), No. 6, 28–83.

    Google Scholar 

  3. M. A. Pinsky, N. K. Stanton, and P. E. Trapa, “Fourier series of radial functions in several variables,” J. Funct. Anal., 116 (1993), 111–122.

    Google Scholar 

  4. M. A. Pinsky, “Pointwise Fourier inversion and related eigenfunction expansions,” Commun. Pure Appl. Math., 47 (1994), 653–681.

    Google Scholar 

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

    Google Scholar 

  6. C. Harada and E. Nakai, “The square partial sums of the Fourier transform of radial functions in three dimensions,” Sci. Math. Jap., 55 (2002), no. 3, 467–477.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Podkorytov, A.N., Van Minh, M. On the Inversion Formula of the Fourier Transform of the Characteristic Function of Several Variables. Journal of Mathematical Sciences 120, 1191–1194 (2004). https://doi.org/10.1023/B:JOTH.0000014846.04894.d1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOTH.0000014846.04894.d1

Keywords

Navigation