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Spherical distribution vectors

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Helminck, A.G. and Helminck, G.F. (2002) Spherical distribution vectors. [Report]

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Abstract:In this paper we consider a locally compact second countable unimodular group $G$ and a closed unimodular subgroup $H$. Let $\rho$ be a finite dimensional unitary representation of $H$ with closed image. For the unitary representation of $G$ obtained by inducing $\rho$ from $H$ to $G$ a decomposition in Hilbert subspaces of a certain space of distributions is given. It is shown that the representations relevant for this decomposition are determined by so-called $(\rho,H)$ spherical distributions, which leads to a description of the decomposition on the level of these distributions.
Item Type:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/65830
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