# Discrete Fourier transform associated with generalized Schur polynomials

@article{vanDiejen2018DiscreteFT, title={Discrete Fourier transform associated with generalized Schur polynomials}, author={J. F. van Diejen and E. Emsiz}, journal={arXiv: Numerical Analysis}, year={2018} }

We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur polynomials. For special choices of the parameters, this recovers the sixteen classic discrete sine- and cosine transforms DST-1,...,DST-8 and DCT-1,...,DCT-8, as well as recently studied (anti-)symmetric multivariate generalizations thereof.

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