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Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
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Luc Deleaval
Published/Copyright:
June 5, 2013
Abstract.
In this article, we give an explicit formula for the Dunkl kernel associated with a positive subsystem of orthogonal roots. We then prove a product formula for this kernel which allows us to show that the Dunkl translation is a bounded operator in this setting. We finally study the Dunkl maximal operator for such subsystems.
Received: 2012-06-11
Accepted: 2013-02-09
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots
- On orthogonal polynomials associated with rational perturbations of linear functional
- Multiple solutions for a class of p(x)-Kirchhoff type problems with Neumann boundary conditions
- A further application of power increasing sequences
- Regularity of fractal interpolation functions via wavelet transform
- Finite groups with some weakly s-semipermutable subgroups
- Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
