Abstract
We consider the hypergeometric translation operators associated to the Cherednik operators and the Heckman–Opdam theory on
Their product formulas are positive integral transforms.
We obtain for them best estimates.
Acknowledgements
The author is grateful to the referee for his excellent report and the interest he has shown in this paper.
References
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The Harmonic Analysis Associated to the Heckman–Opdam Theory and Its Application to a Some Root System Of Type
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Positivity of the transmutation operators and absolute continuity of their representing measures for a root system on
© 2017 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Sparse signal recovery using a new class of random matrices
- The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman--Opdam theory on ℝd
- Generalized variational-like inclusion involving relaxed monotone operators
- A study on the product set-labeling of graphs
- Optimal control problem and viscosity solutions for the Vlasov equation in Yang–Mills charged Bianchi models
- Jaco-type graphs and black energy dissipation
Artikel in diesem Heft
- Frontmatter
- Sparse signal recovery using a new class of random matrices
- The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman--Opdam theory on ℝd
- Generalized variational-like inclusion involving relaxed monotone operators
- A study on the product set-labeling of graphs
- Optimal control problem and viscosity solutions for the Vlasov equation in Yang–Mills charged Bianchi models
- Jaco-type graphs and black energy dissipation