Results 21 to 24 of about 151 (24)
Support properties of the intertwining and the mean value operators in Dunkl's analysis [PDF]
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
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A discrete realization of the higher rank Racah algebra
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
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Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices
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
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
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
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