Open Access
2008 Riggings of Locally Compact Abelian Groups
Manuel Gadella, Fernando Gómez, Sujeev Wickramasekara
J. Geom. Symmetry Phys. 11: 23-31 (2008). DOI: 10.7546/jgsp-11-2008-23-31


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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Manuel Gadella. Fernando Gómez. Sujeev Wickramasekara. "Riggings of Locally Compact Abelian Groups." J. Geom. Symmetry Phys. 11 23 - 31, 2008.


Published: 2008
First available in Project Euclid: 24 May 2017

zbMATH: 1153.22005
MathSciNet: MR2433994
Digital Object Identifier: 10.7546/jgsp-11-2008-23-31

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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