Results 21 to 24 of about 151 (24)

Support properties of the intertwining and the mean value operators in Dunkl's analysis [PDF]

open access: yes, 2016
In this paper we show that the Dunkl intertwining operator has a compact support which is invariant by the associated Coxeter-Weyl group. This property enables us to determine explicitely the support of the volume mean value operator, a fundamental tool ...
Gallardo, Léonard, Rejeb, Chaabane
core   +1 more source

A discrete realization of the higher rank Racah algebra

open access: yes, 2019
In previous work a higher rank generalization $R(n)$ of the Racah algebra was defined abstractly. The special case of rank one encodes the bispectrality of the univariate Racah polynomials and is known to admit an explicit realization in terms of the ...
De Bie, Hendrik, van de Vijver, Wouter
core   +1 more source

Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices

open access: yes, 2011
The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices.
Moale, Ionela, Yuditskii, Peter
core  

On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]

open access: yes, 2012
We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel   +3 more
core  

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