Results 141 to 150 of about 454,230 (160)
Some of the next articles are maybe not open access.
Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
Integral Transforms and Special Functions, 2002We use the Dunkl intertwining operator V_k and its dual ^tV_k to prove a Paley-Wiener theorem for the Dunkl transform, for functions and distributions, and geometric forms of this theorem. These operators permit also to define and study Dunkl translation operators and Dunkl convolution product.
openaire +1 more source
Almansi decomposition for Dunkl operators
Science in China Series A: Mathematics, 2005Let Ω be a G-invariant convex domain in ℝN including 0, where G is a Coxeter group associated with reduced root system R. We consider functions f defined in Ω which are Dunkl polyharmonic, i.e. (Δh)nf = 0 for some integer n. Here333-01is the Dunkl Laplacian, and Dj is the Dunkl operator attached to the Coxeter group G,
openaire +1 more source
Dunkl multiplier operators and applications
Integral Transforms and Special Functions, 2014We study some class of Dunkl multiplier operators; and we establish for them some versions of uncertainty principles. For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev–Dunkl spaces.
openaire +1 more source
Commutants of the Dunkl operators in C(R)
2010The Dunkl operators.
Dimovski, Ivan +2 more
openaire +2 more sources
Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl–Dirac operator
Journal of Algebra, 2022Roy Oste +2 more
exaly
Harmonic analysis associated with the Jacobi–Dunkl operator on
Journal of Computational and Applied Mathematics, 2005Frej Chouchene
exaly
Multiplier operators and extremal functions related to the dual dunkl-sonine operator
Acta Mathematica Scientia, 2013Fethi Soltani
exaly
On a mean value property associated with the dunkl laplacian operator and applications
Integral Transforms and Special Functions, 2001Hatem Mejjaoli
exaly