Riggings of locally compact abelian groups

Details Riggings of locally compact abelian groups Riggings of locally compact abelian groups

2007-04-12

arxiv.org/abs/0704.1634v1

Physics

Mathematical Physics

8 pages, XXV Workshop Geometrical Methods in Physics, Bialowieza, Poland

Scientific paper

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.

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