Skip to main content
SpringerLink
Log in

Product of hyperfunctions on the circle

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

Let φ and ψ be two hyperfunctions on the circle which have disjoint support. We interpret in terms of Fourier coefficients the fact that their product, defined in the sense of sheaf theory, vanishes.

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

Similar content being viewed by others

References

  1. A. Atzmon,Entire functions, invariant subspaces and Fourier transforms, Israel Mathematical Conference Proceedings11 (1997), 37–52.

    MathSciNet  Google Scholar 

  2. A. Atzmon,Weighted L p spaces of entire functions, Fourier transforms and invariant subspaces, preprint.

  3. C. A. Berenstein and R. Gay,Complex Analysis and Special Topics in Harmonic Analysis, Vol. 2, Springer-Verlag, Berlin-Heidelberg-New York, 1995.

    MATH  Google Scholar 

  4. A. Beurling and P. Malliavin,On Fourier transforms of measures with compact support, Acta Mathematica107 (1962), 291–309.

    Article  MATH  MathSciNet  Google Scholar 

  5. R. P. Boas,Entire Functions, Academic Press, New York, 1952.

    Google Scholar 

  6. A. Cerezo,Le cas d’une variable complexe, inHyperfunctions and Theoretical Physics, Lecture Notes in Mathematics449, Springer-Verlag, Berlin, 1975, pp. 5–20.

    Chapter  Google Scholar 

  7. Y. Domar,Entire functions of order ≤1, with bounds on both axes, Annales Academiae Scientiarum Fennicae22 (1997), 339–348.

    MATH  MathSciNet  Google Scholar 

  8. J. Esterle,Singular inner functions and biinvariant subspaces for disymetric weighted shifts, Journal of Functional Analysis144 (1997), 64–104.

    Article  MATH  MathSciNet  Google Scholar 

  9. J. Esterle and A. Volberg,Sous-espaces invariants par translation de certains espaces de Hilbert de suites quasi-analytiquement pondérées, Comptes Rendus de l’Académie des Sciences, Paris326, Série 1 (1998), 295–300.

    Article  MATH  MathSciNet  Google Scholar 

  10. J. Esterle and A. Volberg,Analytic left-invariant subspaces of weighted Hilbert spaces of sequences, Journal of Operator Theory, to appear.

  11. J. Esterle and A. Volberg,Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences, preprint.

  12. A. I. Markushevich,Theory of Functions of a Complex Variable (three volumes in one), Chelsea Publishing Company, New York, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Pures, UPRESA 5467, Université Bordeaux 1, 351, cours de la libération, 33405, Talence, France

    J. Esterle & R. Gay

Authors
  1. J. Esterle
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Gay
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Esterle.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Esterle, J., Gay, R. Product of hyperfunctions on the circle. Isr. J. Math. 116, 271–283 (2000). https://doi.org/10.1007/BF02773222

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02773222

Keywords

Search

Navigation