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arXiv · 1902.08506

Discrete Fourier transform associated with generalized Schur polynomials

J. F. van Diejen·E. Emsiz
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Abstract

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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J. F. van Diejen, E. Emsiz. 2019-02-22. Discrete Fourier transform associated with generalized Schur polynomials. https://doi.org/10.1090/proc%2F14036

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