In this paper, we obtain a Post-Widder-type inversion formula for a Widder–Lambert-type integral transform. We also obtain an Lp inversion formula, 1<p≤2, for this transform by means of the Mellin transform. As a consequence of these results, we consider some class of functions regarding the Salem's equivalence to the Riemann hypothesis.
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González et al. (2024) studied this question.
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