论文标题
模糊谎言组的球形功能
Spherical Functions on Fuzzy Lie group
论文作者
论文摘要
令$ g $为本地紧凑的谎言组，$ \ mathfrak {g} $它的谎言代数。我们认为$ g的模糊模拟，由$ \ mathfrak {g_f} $表示为模糊的谎言组。然后，在$ \ g $上建立了$ \ helgason-spherical函数的存在结果的$ \ mathfrak {g_f} $上的球形函数，然后在$ \ mathfrak {g_f}上建立。
Let $G$ be a locally compact Lie group and $\mathfrak{g}$ its Lie algebra. We consider a fuzzy analogue of $G,$ denoted by $\mathfrak{G_f}$ called a fuzzy Lie group. Spherical functions on $\mathfrak{G_f}$ are constructed and a version of the existence result of the Helgason-spherical function on $G$ is then established on $\mathfrak{G_f}.$
