Discrete and continuous exponential transforms of simple Lie groups of rank two

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123303We 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 $G$.24 pages, 6 figuresMathematical Physics33E99; 42B99; 42C15; 20F55Discrete and continuous exponential transforms of simple Lie groups of rank twotext