局部紧交换群的Riggings
Riggings of locally compact abelian groups
摘要：
我们得到了一组广义特征向量，提供了一个广义谱分解为一个给定的酉表示的交换，局部紧拓扑群。这些广义特征向量是特征群上平方可积函数空间上的一个对偶空间的泛函。通过适当的谱测度空间得到这些函数。
英文摘要：
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.
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。
