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, Maher Aloui, Hausdorff operators associated with the linear canonical Sturm-Liouville transform , CUBO, A Mathematical Journal: Vol. 28 No. 1 (2026)
- 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
Similar Articles
- D. Constales, R. De Almeida, R.S. Krausshar, A Generalization of Wiman and Valiron‘s theory to the Clifford analysis setting , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Paul W. Eloe, Positive Operators and Maximum Principles for Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Takahiro Sudo, K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups. , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- H. M. Srivastava, Fractional calculus and its applications , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Adrián Esparza-Amador, Parámetros especiales y deformaciones lineales de la familia \( (\wp(z))^2 + c \) , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- George A. Anastassiou, Converse Fractional Opial Inequalities for Several Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- A. M. Fink, Almost Periodic Functions , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Indrajit Lahiri, Nintu Mandal, On a result of Q. Han, S. Mori and K. Tohge concerning uniquesness of meromorphic functions. , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- George A. Anastassiou, Multivariate symmetrized, \(q\)-deformed and \(\lambda\)-parametrized hyperbolic tangent induced complex valued trigonometric and hyperbolic neural network enhanced approximation , CUBO, A Mathematical Journal: Vol. 28 No. 2 (2026)
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
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










