出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：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.
关键词：functional analysis;integral equation;characteristic value;the Jentzsch Theorem;statistical physics;spin system
