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ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
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 ...
ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
(České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
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 ...