# FFT and orthogonal discrete transform on weight lattices of semi-simple Lie groups

@article{Seifert2019FFTAO, title={FFT and orthogonal discrete transform on weight lattices of semi-simple Lie groups}, author={B. Seifert}, journal={ArXiv}, year={2019}, volume={abs/1901.06254} }

We give two algebro-geometric inspired approaches to fast algorithms for Fourier transforms in algebraic signal processing theory based on polynomial algebras in several variables. One is based on module induction and one is based on a decomposition property of certain polynomials. The Gauss-Jacobi procedure for the derivation of orthogonal transforms is extended to the multivariate setting. This extension relies on a multivariate Christoffel-Darboux formula for orthogonal polynomials in…

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