Compact Simple Lie Groups and Their C-, S-, and E-Transforms

Abstract

New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank $2\le n<\infty$. Rank 1 transforms are known. Rank 2 exposition of $C$- and $S$-transforms is in the literature. The $E$-transforms appear here for the first time.

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (4)

• E-Orbit Functions
• Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
• Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization
• Fourier transform method for imaging atmospheric Cherenkov telescopes

Cited by in corpus (5)

• Antisymmetric Orbit Functions
• E-Orbit Functions
• Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group
• Orbit Functions
• Four families of orthogonal polynomials of C2 and symmetric and antisymmetric generalizations of sine and cosine functions