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Dirac combs

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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.

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References

  1. CórdobaA., La formule sommatoire de Poisson, Compt. Rend. Acad. Sci. Paris 306, Série I, 373–376 (1988).

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  2. Rosenthal, H. P., Projections onto translation invariant subspaces of L p (G), Mem. AMS No. 63, 1966.

  3. Meyer, Y., Algebraic Numbers and Harmonic Analysis, North Holland Math., Vol. 2 1972.

  4. Zygmund, A., Trigonometric Series, Cambridge Univ. Press, 1968.

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Córdoba, A. Dirac combs. Lett Math Phys 17, 191–196 (1989). https://doi.org/10.1007/BF00401584

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  • DOI: https://doi.org/10.1007/BF00401584

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