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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

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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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