Results 31 to 40 of about 728,042 (147)

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
doaj   +1 more source

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.
openaire   +2 more sources

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
doaj   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$

Comptes Rendus. Mathématique, 2023
Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
doaj   +1 more source

Riesz Potential and Maximal Function for Dunkl transform [PDF]

Potential Analysis, 2020
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D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov   +2 more
openaire   +3 more sources

Revisiting Beurling's theorem for Dunkl transform [PDF]

, 2015
peer reviewedWe prove an analogue of Beurling's theorem in the setting of Dunkl transform, which improves the theorem of Kawazoe-Mejjaoli (\cite{Kawazoe})
PUSTI, Sanjoy
core   +1 more source

(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
doaj   +2 more sources

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
doaj   +1 more source

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

Generalised spin Calogero–Moser systems from Cherednik algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin, Mikhail Vasilev, Martin Vrabec   +2 more
wiley   +1 more source