Riggings of locally compact abelian groups

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

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Mathematical Physics, 57S20, 43A20, 46A99

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http://salesiana.dossiersoluciones.com/handle/123456789/127283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.1634
 http://arxiv.org/abs/0704.1634

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arXiv