论文标题
傅里叶乘数的分数的马尔可夫扩张
Markov dilations of semigroups of Fourier multipliers
论文作者
论文摘要
我们描述了任何弱*连续半群的马尔可夫扩张$(t_t)_ {t \ geq 0} $ selfadechoint Unital Unital完全正面的傅立叶乘数,该型乘以von neumann algebra $ \ mathrm {vn}(g)的本地压缩组$ g $ g $ g $ g $ g $ g $。
We describe a Markov dilation for any weak* continuous semigroup $(T_t)_{t \geq 0}$ of selfadjoint unital completely positive Fourier multipliers acting on the group von Neumann algebra $\mathrm{VN}(G)$ of a locally compact group $G$.