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

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dc.creatorKashuba, Iryna
dc.creatorPatera, Jiri
dc.date2007-02-05
dc.date.accessioned2026-07-07T07:44:44Z
dc.date.available2026-07-07T07:44:44Z
dc.descriptionWe 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 $G$.
dc.description24 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0702016
dc.identifierhttp://arxiv.org/abs/math-ph/0702016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123303
dc.subjectMathematical Physics
dc.subject33E99; 42B99; 42C15; 20F55
dc.titleDiscrete and continuous exponential transforms of simple Lie groups of rank two
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