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92.780  Articles
1 of 9.278 pages  |  10  records  |  more records»
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems. The diagram containing the relations among the special functions as... see more

We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3). It is naturally expected that these rank-3 Coxeter-Weyl... see more

In a first part, we are concerned with the relationships between polynomials in the two generators of the algebra of Heisenberg—Weyl, its Bargmann—Fock representation with differential operators and the associated one-parameter group.Upon this basis, the ... see more

Les états cohérents qui sont des superpositions linéaires de tous les états stationnaires, jouent un grand rôle dans la mécanique quantique, et peuvent être considérés comme liens avec la mécanique classique. Nous avons étudié les états cohérent... see more

Let G be a connected real semisimple Lie group with finite center and ? be a Cartan involution of G. Suppose that K is the maximal compact subgroup of G corresponding to the Cartan involution ?. The coset space X = G/K is then a Riemannian symmetric space... see more

Les états cohérents qui sont des superpositions linéaires de tous les états stationnaires, jouent un grand rôle dans la mécanique quantique, et peuvent être considérés comme liens avec la mécanique classique. Nous avons étudié les états cohérent... see more

We construct classes of examples of H-coactions and H-Galois coactions on the Weyl algebra in characteristic p > 0 where H is the function algebra of the additive group of dimension p2. In particular we show that the main result obtained in a preceedin... see more

Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and di... see more

The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other. The cornerstone is the conne... see more

1 of 9.278 pages  |  10  records  |  more records»