李超群的正定超函数和酉表示
Positive definite superfunctions and unitary representations of Lie supergroups
摘要：
对一类广泛的Frechet-Lie超群，证明了正定光滑超函数与酉表示的矩阵系数之间存在对应关系.给出了对应于解析酉表示的矩阵系数的泛包络代数上的线性泛函的特征。
英文摘要：
For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary representations. We also give a characterization of linear functionals on the corresponding universal enveloping algebra which correspond to matrix coefficients of analytic unitary representations.
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。
