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An analogue of
Krein’s theorem for semisimple Lie groups
Sanjoy Pusti |
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Vol. 254 (2011), No. 2, 381–395
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Abstract |
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We give an integral representation of K-positive definite functions on a real rank n connected, noncompact, semisimple Lie group with finite centre. Moreover, we characterize the λ’s for which the τ-spherical function ϕσ,λτ is positive definite for the group G = Spine(n,1) and the complex spin representation τ. |
Keywords
positive definite functions, K-positive definite functions,
τ-positive definite functions
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Mathematical Subject Classification 2010
Primary: 43A85
Secondary: 22E30
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Milestones
Received: 10 July 2011
Revised: 19 July 2011
Accepted: 25 July 2011
Published: 27 February 2012
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Authors |
| Sanjoy Pusti | |
| Mathematics Research Unit University of Luxembourg, Campus Kirchberg 6, rue Richard Coudenhove-Kalergi 1359 Luxembourg Luxembourg |
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