Cecille Labuda and Iwo Labuda. On the mathematics underlying dispersion relations. EPJH. http://dx.doi.org/10.1140/epjh/e2014-50021-1
Abstract. 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.