On the mathematics underlying dispersion relations
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- Labuda, C. & Labuda, I. EPJ H (2014) 39: 575. doi:10.1140/epjh/e2014-50021-1
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The history of mathematical methods underlying the study of dispersion relations in physics is discussed. In particular, some misconceptions connected with a theorem known in the physics literature as Titchmarsh’s Theorem are addressed. It is pointed out that the aforementioned theorem is a compilation of two well-known theorems in mathematics, the Paley-Wiener theorem and the Marcel Riesz theorem.