Intertwining operators for the generalized principal series on a symmetric $R$-space
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- by Jean-Louis Clerc PDF
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Abstract:
Three questions about the intertwining operators for the generalized principal series on a symmetric $R$-space are solved: description of the functional kernel, both in the noncompact and in the compact picture, domain of convergence, and meromorphic continuation. A large use is made of the theory of positive Jordan triple systems. The meromorphic continuation of the intertwining integral is achieved via a Bernstein-Sato identity, and a precise description of the poles is obtained.References
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Additional Information
- Jean-Louis Clerc
- Affiliation: Institut Elie Cartan, Université de Lorraine, 54506 Vandœuvre-lès-Nancy, France
- Email: jean-louis.clerc@univ-lorraine.fr
- Received by editor(s): October 2, 2012
- Received by editor(s) in revised form: October 11, 2013, and November 12, 2013
- Published electronically: September 4, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 4423-4458
- MSC (2010): Primary 22E45, 43A80
- DOI: https://doi.org/10.1090/S0002-9947-2014-06327-7
- MathSciNet review: 3324934