Discrete and continuous cosine transform generalized to Lie groups SU(2)×SU(2) and O(5)

DOI10.1063/1.1897143zbMath1110.22008OpenAlexW4245834573WikidataQ115333641 ScholiaQ115333641MaRDI QIDQ3438436

A. Zaratsyan, Jirí Patera

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1897143

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80)

Related Items (6)

Discrete and continuous sine transform generalized to semisimple Lie groups of rank two ⋮ The discrete \(\text{SU}(3)\) transform and its continuous extension for triangular lattices ⋮ (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms ⋮ Four families of Weyl group orbit functions of B3 and C3 ⋮ Generating functions for orthogonal polynomials of \(A_{2}\), \(C_{2}\) and \(G_{2}\) ⋮ Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)

Cites Work

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• Numerical Transforms
• On a new relation between semisimple Lie algebras
• Orbit–orbit branching rules between simple low-rank algebras and equal-rank subalgebras
• Voronoi and Delaunay cells of root lattices: classification of their faces and facets by Coxeter-Dynkin diagrams
• Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization
• Discrete Cosine Transform

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