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Representations of Jordan algebras and special functions

Giancarlo Travaglini (1991)

Colloquium Mathematicae

This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

Reproducing kernels for Dunkl polyharmonic polynomials

Kamel Touahri (2012)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree $n$ and Dunkl polyharmonic of degree $m$ , i.e. $Δ_{k}^{m} u = 0$ , $m \in ℕ ∖ {0}$ , where $Δ_{k}$ is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials.

Displaying 21 – 30 of 30

Representations of Jordan algebras and special functions

Reproducing kernels for Dunkl polyharmonic polynomials

Rhombus tilings of a hexagon with two triangles missing on the symmetry axis.

Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality

Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.

Rodrigues-type formulae for Hermite and Laguerre polynomials.

Root systems and hypergeometric functions. I

Root systems and hypergeometric functions. II

Root systems and hypergeometric functions III

Root systems and hypergeometric functions IV

Currently displaying 21 – 30 of 30