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An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory

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.
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https://hal.archives-ouvertes.fr/hal-01399656
Contributor : Jean-Philippe Anker Connect in order to contact the contributor
Submitted on : Thursday, February 2, 2017 - 8:38:08 AM
Last modification on : Friday, April 29, 2022 - 1:56:08 PM
Long-term archiving on: : Friday, May 5, 2017 - 1:25:24 PM

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Jean-Philippe Anker. An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory. Proceedings of the American Mathematical Society, American Mathematical Society, 2018, ⟨10.1090/proc/13679⟩. ⟨hal-01399656v2⟩

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