Skip to main content
Log in

Sums of plane waves, and the range of the Radon transform

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Adams, R., Aronszajn, N., Smith, K.T.: Theory of Bessel potentials, Part II. Ann. Inst. Fourier (Grenoble)17, 1–135 (1967)

    Google Scholar 

  2. Ehrenpreis, L.: Fourier analysis in several complex variables. In: Pure and applied mathematics, XVII. New York: Wiley-Interscience 1970

    Google Scholar 

  3. Falconer, K.J.: Consistency conditions for a finite set of projections of a function. Math. Proc. Cambridge Philos. Soc.85, 61–68 (1979)

    Google Scholar 

  4. Hamaker, C., Solmon, D.C.: The angles between the null spaces ofx-rays. J. Math. Anal. Appl.62, 1–23 (1978)

    Google Scholar 

  5. Hormander, L.: An introduction to complex analysis in several variables. Amsterdam, London, New York: North-Holland-American Elsevier 1973

    Google Scholar 

  6. Logan, B.F., Shepp, L.A.: Optimal reconstruction of a function from its projections. Duke Math. J.42, 645–659 (1975)

    Google Scholar 

  7. Malgrange, B.: Sur les systemes differentiels a coefficients constants. Sem. sur les equations aux derivees partielles, College de France, 1961–2

  8. Smith, K.T.: Formulas to represent functions by their derivatives. Math. Ann.188, 53–77 (1970)

    Google Scholar 

  9. Smith, K.T., Solmon, D.C., Wagner, S.L.: Practical and mathematical aspects of reconstructing objects from radiographs. Bull. Amer. Math. Soc.83, 1227–1270 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research has been supported by the National Science Foundation under grant No. 7801980

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petersen, B.E., Smith, K.T. & Solmon, D.C. Sums of plane waves, and the range of the Radon transform. Math. Ann. 243, 153–161 (1979). https://doi.org/10.1007/BF01420422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01420422

Keywords

Navigation