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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