标题： 局部紧阿贝尔群的装备 显示英文标题

标题： Riggings of locally compact abelian groups

摘要： 我们得到一组广义特征向量，它们为交换局部紧致拓扑群的给定酉表示提供了广义谱分解。 这些广义特征向量属于刻画特征群上平方可积函数空间的某种预解上的对偶空间中的泛函。 这些预解是通过适当的谱度量空间获得的。 显示英文摘要

摘要： We obtain a set of generalized eigenvectors that provides a generalized spectral decomposition for a given unitary representation of a commutative, locally compact topological group. These generalized eigenvectors are functionals belonging to the dual space of a rigging on the space of square integrable functions on the character group. These riggings are obtained through suitable spectral measure spaces.