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A strong version of Poisson summation

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  • Nelson Petulante

Abstract

We establish a generalized version of the classical Poisson summation formula. This formula incorporates a special feature called “compression”, whereby, at the same time that the formula equates a series to its Fourier dual, the compressive feature serves to enable both sides of the equation to converge.

Suggested Citation

  • Nelson Petulante, 1997. "A strong version of Poisson summation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:767631
    DOI: 10.1155/S0161171297000124
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