Results 51 to 60 of about 728,042 (147)

Restriction theorem for the Fourier-Dunkl transform I: Cone surface

, 2022
In this article, we define the Fourier-Dunkl transform, which generalizes the Fourier transform. We prove Strichartz's restriction theorem for the Fourier-Dunkl transform for a cone-hyper-surface and its generalisation to the family of orthonormal ...
Mondal, Shyam Swarup, Senapati, P Jitendra Kumar, Mejjaoli, Hatem, Boggarapu, Pradeep   +3 more
core  

Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions [PDF]

, 2018
We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line.
Pérez, Mario, Varona, Juan L., Mario Pérez, Durán, A.J. [0000-0002-8351-7392], Óscar Ciaurri, Antonio J. Durán, Varona, J.L. [0000-0002-2023-9946], Ciaurri, Óscar, Pérez, M. [0000-0002-3050-3712], Durán, Antonio J., Ciaurri, Ó. [0000-0002-1695-3311], Juan L. Varona   +11 more
core   +1 more source

Besov-Type Spaces on R^d and Integrability for the Dunkl Transform

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution.
Chokri Abdelkefi, Jean-Philippe Anker, Feriel Sassi, Mohamed Sifi   +3 more
doaj   +1 more source

A new aspect of generalized integral operator and an estimation in a generalized function theory

Advances in Difference Equations, 2021
In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to allocate the desired spaces of generalized ...
Shrideh Al-Omari, Hassan Almusawa, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Riesz transforms for Dunkl Hermite expansions

Journal of Mathematical Analysis and Applications, 2015
In the present paper, we establish that Riesz transforms for Dunkl Hermite expansion as introduced in [4] are singular integral operators with Hörmander's type conditions and we show that are bounded on $L^p(\mathbb{R}^d; dμ_k) 1 < p < 1.
openaire   +2 more sources

Matrix Addition and the Dunkl Transform at High Temperature

Communications in Mathematical Physics, 2022
v2: added sections 1.4 and 4.1; fixed minor error in claim 9.1; added references. v3: 59 pages; added Sec. 3.4; added Conjecture 1.3 and Lemma 4.5; fixed a typo in last eqns.
Benaych-Georges, Florent, Cuenca, Cesar, Gorin, Vadim   +2 more
openaire   +2 more sources

Chemical Discrimination of Rutile From Different Metamorphic Source Rocks: Dealing With Hierarchical Data Structures in Random Forest Classification

Journal of Metamorphic Geology, Volume 44, Issue 2, Page 112-137, February 2026.
ABSTRACT Rutile provides a wealth of petrochronological information in metamorphic geology and due to its high stability during processes of the sedimentary cycle, rutile takes a special position in sedimentary provenance analysis. Besides being one of the classical minerals datable using the U–Pb system, rutile incorporates a broad range of trace ...
Jan Schönig, Thomas Zack, Delia Rösel, Raimon Tolosana‐Delgado, Horst Marschall, Hilmar von Eynatten, Nils Keno Lünsdorf, Mona Lueder, Matthias Konrad‐Schmolke, Jesse B. Walters   +9 more
wiley   +1 more source

Approximation and Orthogonality on Fully Symmetric Domains

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley   +1 more source

Boundedness of the pseudo-differential operators generated by 1D-Dunkl operator

Қарағанды университетінің хабаршысы. Математика сериясы
This article is devoted to the study of pseudo-differential operators generated by Dunkl operators, focusing primarily on their boundedness properties.
B. Bekbolat, N. Tokmagambetov
doaj   +1 more source

Generalized Spectral Projections for the Weinstein Laplacian and Applications

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we investigate the generalized spectral projections associated with the Weinstein Laplacian −ΔdW,α. We first derive an explicit integral formula for these projections and prove that they are intrinsically linked to the spectral density of −ΔdW,α, which endows them with a natural spectral interpretation.
Abdelilah El Mourni, Abdelkarim El Hadouni, Abdessalam Chablaoui, Annamaria Barbagallo   +3 more
wiley   +1 more source