具有非对称核的永久向量
Permanental vectors with nonsymmetric kernels
摘要：
具有对称核和指数$2$的永久向量是平方高斯向量。永久向量的定义是平方高斯向量定义到非对称核和正指数的自然扩张。唯一已知的永存向量要么有正定核，要么是无限可分的。还有其他人吗我们对这个问题给出了部分答案。
英文摘要：
A permanental vector with a symmetric kernel and index $2$ is a squared Gaussian vector. The definition of permanental vectors is a natural extension of the definition of squared Gaussian vectors to nonsymmetric kernels and to positive indexes. The only known permanental vectors either have a positive definite kernel or are infinitely divisible. Are there some others? We present a partial answer to this question.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
