Intertwining operators for L 2(E) |
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| Authors: | Jorge Soto-Andrade Jorge Vargas |
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| Institution: | 1. Universidad de Chile , Casilla 653, Santiago de Chile, Chile E-mail: sotoandr@abello.dic.uchile.cl;2. Universidad Nacional de Córdoba , FAMAF, Córdoba, 5000, Argentine E-mail: vargas@mate.uncor.edu |
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| Abstract: | Let (E,Q) be a finite dimensional quadratic vector space over a finite field. For the natural representation -π of the isometry group G of (E,Q) in the space L 2(E) of all complex valued functions on E, we analyse when the intertwining algebra of π is generated by just one averaging operator. |
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