Results 11 to 20 of about 160 (141)
Dunkl convolution and elliptic regularity for Dunkl operators
Mathematische NachrichtenAbstractWe discuss in which cases the Dunkl convolution of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called ...
Dominik Brennecken
openaire +4 more sources
DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS [PDF]
Proceedings of the London Mathematical Society, 2003 Dunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parameterized family of deformations of the polynomial De Rham complex. This leads to the study of the polynomial ring as a module over the ‘rational Cherednik algebra’, and a natural contravariant form on this module.
Dunkl, C.F., Opdam, E.M.
openaire +4 more sources
Dunkl-Poisson Equation and Related Equations in Superspace
Mathematical Modelling and Analysis, 2015 In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace.
Hong Fen Yuan, Valery V. Karachik
doaj +1 more source
Lp Hardy's identities and inequalities for Dunkl operators
Advanced Nonlinear Studies, 2022 The main purpose of this article is to establish the Lp{L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space RN{{\mathbb{R}}}^{N}. We also prove Hardy’s identities and inequalities on certain domains with
Wang Jianxiong
doaj +1 more source
A Class of Quantum Briot–Bouquet Differential Equations with Complex Coefficients
Mathematics, 2020 Quantum inequalities (QI) are local restraints on the magnitude and range of formulas. Quantum inequalities have been established to have a different range of applications. In this paper, we aim to introduce a study of QI in a complex domain.
Rabha W. Ibrahim +2 more
doaj +1 more source
Quantitative Dunkl analogue of Szász-Mirakyan operators [PDF]
Journal of Mathematical Inequalities, 2021 Summary: The main object of this paper is to introduce a sequence of quantitative Dunkl analogue Szász-Mirakyan operators. Firstly, we have defined mentioned operators and have obtained test values and central moments for our operators. We have given weighted Korovkin theorem for these operators and then, have shed light on approximation properties of ...
Cai, Qing-Bo +3 more
openaire +3 more sources
Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
Abstract and Applied Analysis, 2010 We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
doaj +1 more source
Математичні Студії, 2022 In the present investigation, inspired by the work on Yamaguchi type class of analytic functions satisfyingthe analytic criteria $\mathfrak{Re}\{\frac{f (z)}{z}\} > 0, $ in the open unit disk $\Delta=\{z \in \mathbb{C}\colon |z|
T. Panigrahi, G. Murugusundaramoorthy
doaj +1 more source
Dunkl Translation and Uncentered Maximal Operator on the Real Line
International Journal of Mathematics and Mathematical Sciences, 2007 We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1,1).
Chokri Abdelkefi, Mohamed Sifi
doaj +1 more source
Supersymmetric Wigner–Dunkl quantum mechanics
Results in Physics, 2022 Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where the commutator between canonical momentum and position operators contains in addition a reflection operator.
Shi-Hai Dong +3 more
doaj +1 more source