Journal of Geometry and Symmetry in Physics

Riggings of Locally Compact Abelian Groups

Manuel Gadella, Fernando Gómez, and Sujeev Wickramasekara

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Abstract

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.

Article information

Source
J. Geom. Symmetry Phys., Volume 11 (2008), 23-31.

Dates
First available in Project Euclid: 24 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495591301

Digital Object Identifier
doi:10.7546/jgsp-11-2008-23-31

Mathematical Reviews number (MathSciNet)
MR2433994

Zentralblatt MATH identifier
1153.22005

Citation

Gadella, Manuel; Gómez, Fernando; Wickramasekara, Sujeev. Riggings of Locally Compact Abelian Groups. J. Geom. Symmetry Phys. 11 (2008), 23--31. doi:10.7546/jgsp-11-2008-23-31. https://projecteuclid.org/euclid.jgsp/1495591301


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