An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory
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- by Jean-Philippe Anker PDF
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Abstract:
This note is devoted to the intertwining operator in the one-dimensional trigonometric Dunkl setting. We obtain a simple integral expression of this operator and deduce its positivity.References
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Additional Information
- Jean-Philippe Anker
- Affiliation: Université Orléans & CNRS, Fédération Denis Poisson (FR 2964), Laboratoire MAPMO (UMR 7349), Bâtiment de Mathématiques, B.P. 6759, 45067 Orléans cedex 2, France
- MR Author ID: 198768
- Email: anker@univ-orleans.fr
- Received by editor(s): November 20, 2016
- Received by editor(s) in revised form: January 18, 2017, and January 29, 2017
- Published electronically: August 1, 2017
- Additional Notes: This work was partially supported by the regional project MADACA (Marches Aléatoires et processus de Dunkl–Approches Combinatoires et Algébriques, www.fdpoisson.fr/madaca).
- Communicated by: Mourad E. H. Ismail
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 189-193
- MSC (2010): Primary 33C67
- DOI: https://doi.org/10.1090/proc/13679
- MathSciNet review: 3723132