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arXiv:1902.08506 [math.NA]AbstractReferencesReviewsResources

Discrete Fourier transform associated with generalized Schur polynomials

J. F. van Diejen, E. Emsiz

Published 2019-02-22Version 1

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.

Comments: 14 pages, LaTeX
Journal: Proc. Amer. Math. Soc. 146 (2018), no. 8, 3459-3472
Categories: math.NA, math-ph, math.CO, math.MP
Subjects: 65T50, 05E05, 15B10, 42A10, 42B10, 33D52
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