Riggings of locally compact abelian groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127283We 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.8 pages, XXV Workshop Geometrical Methods in Physics, Bialowieza, PolandMathematical Physics57S20, 43A20, 46A99Riggings of locally compact abelian groupstext