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An elementary proof of the positivity of the intertwining operator in one-dimensional trigonometric Dunkl theory
- Source :
- Proceedings of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Society, 2018, ⟨10.1090/proc/13679⟩
- Publication Year :
- 2016
-
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.<br />A para{\^i}tre dans Proc. Amer. Math. Soc
- Subjects :
- Applied Mathematics
General Mathematics
010102 general mathematics
Mathematics::Classical Analysis and ODEs
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Expression (computer science)
01 natural sciences
Proofs of trigonometric identities
010101 applied mathematics
Algebra
Operator (computer programming)
Simple (abstract algebra)
Mathematics - Classical Analysis and ODEs
MSC 33C67
Mathematics::Quantum Algebra
Elementary proof
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
0101 mathematics
Trigonometry
Mathematics::Representation Theory
Dunkl operator
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00029939 and 10886826
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Society, 2018, ⟨10.1090/proc/13679⟩
- Accession number :
- edsair.doi.dedup.....8060b6d0745ff9f2c086d223b397dcd6