Arkiv för Matematik

, Volume 29, Issue 1–2, pp 237–240 | Cite as

A uniqueness theorem of Beurling for Fourier transform pairs

  • Lars Hörmander


Analytic Function Entire Function Compact Support Real Axis English Translation 
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  1. 1.
    Beurling, A.,The collected works of Arne Beurling, 1–2, Birkhäuser, Boston, 1989.MATHGoogle Scholar
  2. 2.
    Gel'fand, I. M. andShilov, G. E., Fourier transforms of rapidly increasing functions and questions of uniqueness of the solution of Cauchy's problem,Uspekhi Mat. Nauk 8: 6 (1953), 3–54.MATHGoogle Scholar
  3. 3.
    Gel'fand, I. M. andShilov, G. E.,Generalized functions, 2, Moscow, 1958 (Russian). English translation, Academic Press, 1968.Google Scholar

Copyright information

© Institut Mittag-Leffler 1991

Authors and Affiliations

  • Lars Hörmander
    • 1
  1. 1.Department of MathematicsUniversity of LundLundSweden

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