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

2007/02/05 by Iryna Kashuba, Kashuba, Iryna, Jiri Patera +2 · 2 citations
Mathematics · Physics and Astronomy · #20F55 #33E99 #42B99 #42C15 #Advanced Algebra and Geometry #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #math-ph #math.MP #msc:20F55 #msc:33E99 #msc:42B99 #msc:42C15

paper · pdf · doi:10.48550/arxiv.math-ph/0702016

24 pages, 6 figures

arxiv created 2007/02/05 · openalex publication_date 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• E-Orbit Functions
• Antisymmetric Orbit Functions

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