Regularization and asymptotic expansion of certain distributions defined by divergent series

Ricardo Estrada

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-9

Abstract:

The regularization of the distribution ∑ n = − ∞ ∞ δ ( x − p n ) . which gives a regularized value to the divergent series ∑ n = − ∞ ∞ φ ( p n ) is obtained in several spaces of test functions. The asymptotic expansion as ϵ → 0 + of series of the type ∑ n = 0 ∞ φ ( ϵ p n ) is also obtained.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:347271

DOI: 10.1155/S0161171295000949

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