$1/(1+|t|)$ is a characteristic function by Polya's criterion. I am trying to find out the nature of the distribution function with this characteristic function. Since $1/(1+|t|)$ is not integrable I cannot use the inversion formula to conclude that the distribution function is absolutely continuous. Any help would be appreciated.
2026-03-31 08:08:49.1774944529
On criteria for characteristic functions
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