Segal-Bargmann transforms associated with finite Coxeter groups |
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| Authors: | Salem Ben Saïd Bent Ørsted |
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| Affiliation: | (1) Département de Mathématiques, Institut Elie Cartan, Université Henri Poincaré–Nancy 1, B.P. 239, 54506, Vandoeuvre-Les-Nancy, Cedex, France;(2) Department of Mathematical Sciences, Aarhus University, Building 530, Ny Munkegade, 8000 Aarhus C, Denmark |
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| Abstract: | Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a generalized Segal-Bargmann transform associated with every finite Coxeter group G on ? N . We find the integral representation of this transform, and we prove its unitarity. To define the Segal-Bargmann transform, we introduce a Hilbert space    | |
| Keywords: | 33C52 43A85 44A15 |
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