Skip to main content
Log in

A theorem on the support of functions in L2(R) and of their Fourier transforms

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

This paper is a study of the dimension of certain subspaces M of L2(R) defined by prescribing the support of the functions in M and of their Fourier transforms.

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. LenardA., J. Funct. Anal. 10, 410 (1972).

    Google Scholar 

  2. PironC., Helv. Phys. Acta 37, 439 (1964).

    Google Scholar 

  3. BirkhoffG., Lattice Theory, 3rd edition, AMS, Providence, 1973.

    Google Scholar 

  4. DixmierJ., Rev. Sci. 86, 387 (1969).

    Google Scholar 

  5. Halmos, P.R., Trans. Amer. Math. Soc. 144, 381.

  6. DurenP.L., Theory of H P Spaces, Academic Press, New York (1970).

    Google Scholar 

  7. Benedicks, M., ‘On Fourier Transforms of Functions Supported on Sets of Finite Lebesgue Measure’, preprint TRITA-MAT, 5, (1974) University of Stockholm.

  8. JauchJ.M., Synthese 29, 131 (1974).

    Google Scholar 

  9. Amrein, W.O. and Berthier, A.M., ‘On Support Properties of LP-Functions and Their Fourier Transforms’, to appear.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berthier, A.M., Jauch, J.M. A theorem on the support of functions in L2(R) and of their Fourier transforms. Lett Math Phys 1, 93–97 (1976). https://doi.org/10.1007/BF00398369

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00398369

Keywords

Navigation