Results 101 to 110 of about 2,871 (158)

Further results for the Dunkl Transform and the generalized Ces\`aro operator [PDF]

, 2012
In this paper, we consider Dunkl theory on R^d associated to a finite reflection group. This theory generalizes classical Fourier anal- ysis. First, we give for 1 < p
Abdelkefi, Chokri, Rached, Faten
core  

Dunkl shift operators and Bannai–Ito polynomials

Advances in Mathematics, 2012
35 pages, to be published in Adv ...
Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +2 more
openaire   +2 more sources

Persistence of solvability in quantum systems deformed by Dunkl operators

Acta Polytechnica
We study persistence of solvability in nonrelativistic quantum systems with positiondependent mass upon introduction of a deformation by Dunkl operators.
Axel Schulze-Halberg
doaj   +1 more source

Dunkl analogue of Szász-mirakjan operators of blending type

Open Mathematics, 2018
In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal, Agrawal P.N., Araci Serkan   +2 more
doaj   +1 more source

A positive radial product formula for the Dunkl kernel

, 2002
It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is
Rösler, Margit
core   +2 more sources

On constraints of the (β-deformed) partition functions with W-representations

Physics Letters B
We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles).
Yu-Sen Zhu, Ren Cuo Ji, Min-Li Li, Rui Wang   +3 more
doaj   +1 more source

Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual $^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{−1}$ and $^tV_k^{−1}$, and we give some ...
Khalifa Trimèche
doaj   +1 more source

Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System

Symmetry, Integrability and Geometry: Methods and Applications, 2013
In this paper, we introduce a new differential-difference operator T_ξ (ξ∈R^N) by using projections associated to orthogonal subsystems in root systems.
Fethi Bouzeffour
doaj   +1 more source

Dunkl Operators and Canonical Invariants of Reflection Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary symmetric polynomials.
Arkady Berenstein, Yurii Burman
doaj   +1 more source

Vector-Valued Jack Polynomials from Scratch

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Vector-valued Jack polynomials associated to the symmetric group S_N are polynomials with multiplicities in an irreducible module of S_N and which are simultaneous eigenfunctions of the Cherednik-Dunkl operators with some additional properties concerning
Jean-Gabriel Luque, Charles F. Dunkl
doaj   +1 more source