On the mathematics underlying dispersion relations
University of Mississippi, P.O. Box 1848 University,
a e-mail: firstname.lastname@example.org
Received in final form: 22 September 2014
Published online: 24 October 2014
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.
© EDP Sciences, Springer-Verlag 2014