论文标题
与通用I类型的局部紧凑型组相关的伪分化运算符
Pseudo-differential operators associated to general type I locally compact groups
论文作者
论文摘要
在M. Mantoiu和M. Ruzhansky最近的一篇论文中，已经为单型I类群开发了全局伪差异积分。在本文中，在本文中，我们将主要结果推广到局部紧凑的类型I类。我们的方法涉及Plancherel的定理对非截骨组的使用。我们还通过$ C^*$ - 代数形式主义建立联系，涉及动态系统，并为真实线的仿射转换组提供明确的构造。
In a recent paper by M. Mantoiu and M. Ruzhansky, a global pseudo-differential calculus has been developed for unimodular groups of type I. In the present article we generalize the main results to arbitrary locally compact groups of type I. Our methods involve the use of Plancherel's theorem for non-unimodular groups. We also make connections with a $C^*$-algebraic formalism, involving dynamical systems, and give explicit constructions for the group of affine transformations of the real line.
