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

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

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2018-01, Vol.146 (1), p.189-193
1. Verfasser: ANKER, JEAN-PHILIPPE
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
Classical Analysis and ODEs
Mathematics
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13679