Skip to main content
SpringerLink
Log in

Periodic Beurling distributions

  • Published:
Acta Mathematica Hungarica 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

Bibliography

  1. A. Beurling,Quasi-analyticity, and general distributions, Lectures 4 and 5, A. M. S. Summer institute, Stanford, 1961 (mimeographed).

    Google Scholar 

  2. C. A. Berenstein and M. A. Dostal, Topological properties of analytically uniform spaces,Trans. Amer. Math. Soc.,154 (1971), 493–513.

    Google Scholar 

  3. G. Björck, Linear partial differential operators and generalized distributions,Ark. Mat.,6 (1966), 351–407.

    Google Scholar 

  4. James E. Brennan, Approximation in the mean by polynomials on non-Carathéodory domains,Ark. Matematik,15 (1977), 117–168.

    Google Scholar 

  5. M. A. Dostal, An analogue of a theorem of Vladimir Bernstein and its applications to singular supports of distributions,Proc. London Math. Soc.,19 (1969), 553–576.

    Google Scholar 

  6. R. R. Goldberg, Restrictions of Fourier transforms and extension of Fourier sequences,J. Approx. Th.,3 (1970), 149–155.

    Article  Google Scholar 

  7. Olaf von Grudzinski, Spezielle Sobolev-Räume von Beurling-Distributionen,Math. Z.,146, (1976), 173–187.

    Article  Google Scholar 

  8. Olaf von Grundzinki, Temperierte Beurling-Distributionen,Math. Nachr.,91 (1979), 297–320.

    Google Scholar 

  9. K. Hoffman,Banach Spaces of Analytic Functions, Prentice-Hall (New Jersey, 1962).

    Google Scholar 

  10. O. John, Sulla regolarità delle soluzioni delle equazioni lineari ellitiche rielle classi di Beurling,Boll. Un. Mat. Ital.,4 (1969), 183–195.

    Google Scholar 

  11. B. Korenblum, An extension of the Nevanlinna theory,Acta Math.,135 (1975), 187–219.

    Google Scholar 

  12. Thomas Kriete, On the structure of certainH 2(μ) spaces,Ind. Math. J.,29 (1979), 757–773.

    Article  Google Scholar 

  13. N. Levinson,Gap and density theorems, American Mathematical Society (New York, 1940).

    Google Scholar 

  14. H. Millington, Nuclear spaces of generalized test functions,Can. Math. Bull.,16 (1973), 269–273.

    Google Scholar 

  15. R. Paley and N. Wiener,Fourier Transforms in the Complex Domain, American Mathematical Society (New York, 1934).

    Google Scholar 

  16. W. Rudin,Functional Analysis, McGraw Hill (New York, 1973).

    Google Scholar 

  17. Otto Weingärtner and Florin Constantinescu, Der Satz von Bochner-Schwartz für Ultradistributionen,Math. Z.,147 (1976), 175–180.

    Article  Google Scholar 

  18. A. H. Zemanian,Distribution Theory and Transform Analysis, McGraw Hill (New York, 1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mary Washington College, Fredericksburg, Va., USA

    M. G. Collier

  2. Vanderbilt University, 37235, Nashville, Tennessee, USA

    J. A. Kelingos

Authors
  1. M. G. Collier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. A. Kelingos
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Collier, M.G., Kelingos, J.A. Periodic Beurling distributions. Acta Math Hung 42, 261–278 (1983). https://doi.org/10.1007/BF01956775

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01956775

Search

Navigation