Spherical Distribution Vectors

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Helminck, Aloysius G. and Helminck, Gerardus F. (2002) Spherical Distribution Vectors. Acta Applicandae Mathematicae, 73 (1-2). pp. 39-57. ISSN 0167-8019

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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 ρ be a finite-dimensional unitary representation of H with closed image. For the unitary representation of G obtained by inducing ρ 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 (ρ,H) spherical distributions, which leads to a description of the decomposition on the level of these distributions
Item Type:Article
Copyright:© 2002 Springer
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69575
Official URL:http://dx.doi.org/10.1023/A:1019762302447
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Metis ID: 209337