An integral expression for the Dunkl kernel in the dihedral setting
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Mostafa Maslouhi
Abstract
Using the results in [12] where a construction of the Dunkl intertwining operator for a large set of regular parameter functions is provided, we establish an integral expression for the Dunkl kernel in the context of the dihedral group
Acknowledgements
The author would like to thank the referee for his pertinent remarks and suggestions which have served to improve the content and the form of this manuscript.
References
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Dynamics of typical Baire-1 functions on the interval
- On the generalized quotient integrals on homogeneous spaces
- An integral expression for the Dunkl kernel in the dihedral setting
- Takagi function revisited
- On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires
- Pexider type equation on a region
- Anti-periodic solutions for a higher order difference equation with p-Laplacian
- Portfolio immunization under cone restrictions
- The Lagrange multiplier and the stationary Stokes equations
- Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument
Artikel in diesem Heft
- Frontmatter
- Dynamics of typical Baire-1 functions on the interval
- On the generalized quotient integrals on homogeneous spaces
- An integral expression for the Dunkl kernel in the dihedral setting
- Takagi function revisited
- On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires
- Pexider type equation on a region
- Anti-periodic solutions for a higher order difference equation with p-Laplacian
- Portfolio immunization under cone restrictions
- The Lagrange multiplier and the stationary Stokes equations
- Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument
