Results 21 to 30 of about 102 (91)

On the kernel of the $(\kappa ,a)$ -Generalized fourier transform

Forum of Mathematics, Sigma, 2023
For the kernel $B_{\kappa ,a}(x,y)$ of the $(\kappa ,a)$ -generalized Fourier transform $\mathcal {F}_{\kappa ,a}$ , acting in $L^{2}(\mathbb {R}^{d})$ with the weight $|x|^{a-2}v_{\kappa }(x)$ , where $v_{\kappa }$
Dmitry Gorbachev, Valerii Ivanov, Sergey Tikhonov   +2 more
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Uncertainty Principles for the Dunkl-Wigner Transforms [PDF]

Journal of Operators, 2016
We prove a version of Heisenberg-type uncertainty principle for the Dunkl-Wigner transform of magnitude s>0; and we deduce a local uncertainty principle for this transform.
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The dunkl transform

Inventiones mathematicae, 1993
In the late eighties, Dunkel found a remarkable set of commuting operators that can be associated with a finite real reflection group. The operators contain complex parameters; if these parameters are all zero, Dunkl's operators reduce to the ordinary directional derivatives.
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Dunkl-Gabor transform and time-frequency concentration [PDF]

Czechoslovak Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Range of the Spectral Projection Associated with the Dunkl Laplacian

Journal of Function Spaces, 2020
For s∈ℝ, denote by Pksf the “projection” of a function f in Dℝd into the eigenspaces of the Dunkl Laplacian Δk corresponding to the eigenvalue −s2. The parameter k comes from Dunkl’s theory of differential-difference operators.
Salem Ben Said, Hatem Mejjaoli
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(δ,γ)-Jacobi-Dunkl Lipschitz Functions in the Space L2(R,Aα,β(x)dx)

International Journal of Analysis and Applications, 2015
Using a generalized Jacobi-Dunkl translation, we obtain an analog of Theorem 5.2 in Younis paper [7] for the Jacobi-Dunkl transform for functions satisfying the (δ,γ)-Jacobi-Dunkl Lipschitz condition in the space L2(R,Aα,β(x)dx), α ≥ β ≥−1/2, α ≠−1/2.
R. Daher, S. El Ouadih
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Two Versions of Dunkl Linear Canonical Wavelet Transforms and Applications

Mathematics
Among the class of generalized Fourier transformations, the linear canonical transform is of crucial importance, mainly due to its higher degrees of freedom compared to the conventional Fourier and fractional Fourier transforms.
Saifallah Ghobber, Hatem Mejjaoli
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The class Bp for weighted generalized Fourier transform inequalities

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp.
Chokri Abdelkefi, Mongi Rachdi
doaj   +1 more source

Fractional Supersymmetric Hermite Polynomials

Mathematics, 2020
We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator.
Fethi Bouzeffour, Wissem Jedidi
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Beurling’s Theorem for the Q-Fourier-Dunkl Transform

Kragujevac Journal of Mathematics, 2021
The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling’s theorem for the Q-Fourier-Dunkl transform ℱQ on ℝ.
Loualid, El Mehdi, Achak, Azzedine, Daher, Radouan   +2 more
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