A Variation of the Jentzsch Theorem for a Symmetric Integral Kernel and its Application

抄録

A variation of the Jentzsch theorem is given; the largest characteristic value with respect to odd characteristic functions is simple for an integral equation whose kernel is non-negative, symmetric, even on one of variables in R ⁿ and having some other conditions. In order to prove the new theorem, we present a simple proof for the Jentzsch theorem for a non-negative and symmetric integral kernel. We give an application of the new theorem to correlation functions of the one-dimensional spin systems.