Reproducing inversion formulas for the Dunkl-Wigner transforms
-
Fethi Soltani
fethisoltani10@yahoo.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462015000200001Abstract
We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transform.
Keywords
Most read articles by the same author(s)
- Fethi Soltani, Extremal functions and best approximate formulas for the Hankel-type Fock space , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Fethi Soltani, Slim Ben Rejeb, Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Fethi Soltani, \(L^p\) local uncertainty inequality for the Sturm-Liouville transform , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Fethi Soltani, Maher Aloui, Hausdorff operators associated with the linear canonical Sturm-Liouville transform , CUBO, A Mathematical Journal: Vol. 28 No. 1 (2026)
Similar Articles
- Gabriel M. Antón Marval, René E. Castillo, Julio C. Ramos-Fernández, Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Moussa Barro, Sado Traoré, Level sets regularization with application to optimization problems , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- B. Bhowmik, K.-J. Wirths, S. Ponnusamy, On some problems of James Miller , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Elke Wolf, Isometric weighted composition operators on weighted Banach spaces of holomorphic functions defined on the unit ball of a complex Banach space , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Fethi Soltani, \(L^p\) local uncertainty inequality for the Sturm-Liouville transform , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- A. El-Sayed Ahmed, A. Kamal, T.I. Yassen, Characterizations for certain analytic functions by series expansions with Hadamard gaps , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Asa Ashley, Ferhan M. Atıcı, Samuel Chang, A note on constructing sine and cosine functions in discrete fractional calculus , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
- Chirine Chettaoui, An other uncertainty principle for the Hankel transform , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- René Erlín Castillo, Héctor Camilo Chaparro, Julio César Ramos-Fernández, \(L_p\)-boundedness of the Laplace transform , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Monique Combescure, Didier Robert, Quadratic Quantum Hamiltonians revisited , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2015-06-01
How to Cite
[1]
F. Soltani, “Reproducing inversion formulas for the Dunkl-Wigner transforms”, CUBO, vol. 17, no. 2, pp. 1–14, Jun. 2015.
Issue
Section
Articles










