AN ELEMENTARY PROOF OF THE POSITIVITY OF THE INTERTWINING OPERATOR IN ONE–DIMENSIONAL TRIGONOMETRIC DUNKL THEORY

Jean-Philippe Anker (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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.

Domaines: Analyse classique [math.CA]

Jean-Philippe Anker. AN ELEMENTARY PROOF OF THE POSITIVITY OF THE INTERTWINING OPERATOR IN ONE–DIMENSIONAL TRIGONOMETRIC DUNKL THEORY. 2016. ⟨hal-01399656v1⟩