Discrete Fourier transform associated with generalized Schur polynomials
Numerical Analysis
2019-02-25 v1 Mathematical Physics
Combinatorics
math.MP
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.
Cite
@article{arxiv.1902.08506,
title = {Discrete Fourier transform associated with generalized Schur polynomials},
author = {J. F. van Diejen and E. Emsiz},
journal= {arXiv preprint arXiv:1902.08506},
year = {2019}
}
Comments
14 pages, LaTeX