Physics – Mathematical Physics
Scientific paper
2007-02-05
Physics
Mathematical Physics
24 pages, 6 figures
Scientific paper
We develop and describe continuous and discrete transforms of class functions on compact simple Lie group $G$ as their expansions into series of uncommon special functions, called here $\E$-functions in recognition of the fact that the functions generalize common exponential functions. The rank of $G$ is the number of variables in the $\E$-functions. A uniform discretization of the decomposition problem is described on lattices of any density and symmetry admissible for the Lie group $G$.
Kashuba Iryna
Patera Jiri
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