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Letters in Mathematical Physics

, Volume 17, Issue 3, pp 191–196 | Cite as

Dirac combs

  • A. Córdoba
Article

Abstract

We consider tempered distributions given by linear combinations of delta functions placed at different points and whose Fourier transform is also a sum of the delta functions. We show that they can be characterized as finite superpositions of periodic structures.

AMS subject classifications (1980)

Primary 42B10 secondary 44A15 

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References

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    CórdobaA., La formule sommatoire de Poisson, Compt. Rend. Acad. Sci. Paris 306, Série I, 373–376 (1988).Google Scholar
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    Rosenthal, H. P., Projections onto translation invariant subspaces of L p (G), Mem. AMS No. 63, 1966.Google Scholar
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    Meyer, Y., Algebraic Numbers and Harmonic Analysis, North Holland Math., Vol. 2 1972.Google Scholar
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    Zygmund, A., Trigonometric Series, Cambridge Univ. Press, 1968.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • A. Córdoba
    • 1
  1. 1.Departamento de MatemáticasUniversidad AutónomaMadridSpain

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