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
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Jyotirmoy Mouley, M. M. Panja, B. N. Mandal, Approximate solution of Abel integral equation in Daubechies wavelet basis , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Filippo Cammaroto, Infinitely many solutions for a nonlinear Navier problem involving the \(p\)-biharmonic operator , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Raúl Fierro, Sergio Pizarro, Fixed points of set-valued mappings satisfying a Banach orbital condition , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Sapan Kumar Nayak, P. K. Parida, Global convergence analysis of Caputo fractional Whittaker method with real world applications , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Dmitri V. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro, The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Sirkka-Liisa Eriksson, Heikki Orelma, A simple construction of a fundamental solution for the extended Weinstein equation , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Almost automorphic solutions for some nonautonomous evolution equations under the light of integrable dichotomy , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Nemri Akram, Retraction Note: Heisenberg-type uncertainty principle for the second \(q\)-Bargmann transform on the unit disk , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
<< < 9 10 11 12 13 14 15 16 > >>
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










